Matchstick puzzle with roman numerals












8














I got a puzzle from a book that asks to move one matchstick to get a valid equation. My "solutions"
feels like cheating... Does anyone have a good idea? The original equation, layed out with matches, is




VI = V + VII




the original picture. Sorry for the low quality










share|improve this question
























  • Is the I made of 1 or 3 sticks?
    – Omega Krypton
    Dec 29 '18 at 14:07










  • It is only 1 stick
    – Marc
    Dec 29 '18 at 14:09






  • 2




    Please add the source of the puzzle
    – Dr Xorile
    Dec 29 '18 at 14:32










  • I don't have a source. It's a picture a friend showed me. And she made it a couple of days agoe in a mountain hut.
    – Marc
    Dec 29 '18 at 14:47










  • There appear to be further matches above/below the equation shown, but which don’t appear to relate to other equations... could they be relevant?
    – eggyal
    Dec 30 '18 at 2:08
















8














I got a puzzle from a book that asks to move one matchstick to get a valid equation. My "solutions"
feels like cheating... Does anyone have a good idea? The original equation, layed out with matches, is




VI = V + VII




the original picture. Sorry for the low quality










share|improve this question
























  • Is the I made of 1 or 3 sticks?
    – Omega Krypton
    Dec 29 '18 at 14:07










  • It is only 1 stick
    – Marc
    Dec 29 '18 at 14:09






  • 2




    Please add the source of the puzzle
    – Dr Xorile
    Dec 29 '18 at 14:32










  • I don't have a source. It's a picture a friend showed me. And she made it a couple of days agoe in a mountain hut.
    – Marc
    Dec 29 '18 at 14:47










  • There appear to be further matches above/below the equation shown, but which don’t appear to relate to other equations... could they be relevant?
    – eggyal
    Dec 30 '18 at 2:08














8












8








8







I got a puzzle from a book that asks to move one matchstick to get a valid equation. My "solutions"
feels like cheating... Does anyone have a good idea? The original equation, layed out with matches, is




VI = V + VII




the original picture. Sorry for the low quality










share|improve this question















I got a puzzle from a book that asks to move one matchstick to get a valid equation. My "solutions"
feels like cheating... Does anyone have a good idea? The original equation, layed out with matches, is




VI = V + VII




the original picture. Sorry for the low quality







matches






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Dec 29 '18 at 21:52









Glorfindel

13.5k34983




13.5k34983










asked Dec 29 '18 at 14:04









Marc

1434




1434












  • Is the I made of 1 or 3 sticks?
    – Omega Krypton
    Dec 29 '18 at 14:07










  • It is only 1 stick
    – Marc
    Dec 29 '18 at 14:09






  • 2




    Please add the source of the puzzle
    – Dr Xorile
    Dec 29 '18 at 14:32










  • I don't have a source. It's a picture a friend showed me. And she made it a couple of days agoe in a mountain hut.
    – Marc
    Dec 29 '18 at 14:47










  • There appear to be further matches above/below the equation shown, but which don’t appear to relate to other equations... could they be relevant?
    – eggyal
    Dec 30 '18 at 2:08


















  • Is the I made of 1 or 3 sticks?
    – Omega Krypton
    Dec 29 '18 at 14:07










  • It is only 1 stick
    – Marc
    Dec 29 '18 at 14:09






  • 2




    Please add the source of the puzzle
    – Dr Xorile
    Dec 29 '18 at 14:32










  • I don't have a source. It's a picture a friend showed me. And she made it a couple of days agoe in a mountain hut.
    – Marc
    Dec 29 '18 at 14:47










  • There appear to be further matches above/below the equation shown, but which don’t appear to relate to other equations... could they be relevant?
    – eggyal
    Dec 30 '18 at 2:08
















Is the I made of 1 or 3 sticks?
– Omega Krypton
Dec 29 '18 at 14:07




Is the I made of 1 or 3 sticks?
– Omega Krypton
Dec 29 '18 at 14:07












It is only 1 stick
– Marc
Dec 29 '18 at 14:09




It is only 1 stick
– Marc
Dec 29 '18 at 14:09




2




2




Please add the source of the puzzle
– Dr Xorile
Dec 29 '18 at 14:32




Please add the source of the puzzle
– Dr Xorile
Dec 29 '18 at 14:32












I don't have a source. It's a picture a friend showed me. And she made it a couple of days agoe in a mountain hut.
– Marc
Dec 29 '18 at 14:47




I don't have a source. It's a picture a friend showed me. And she made it a couple of days agoe in a mountain hut.
– Marc
Dec 29 '18 at 14:47












There appear to be further matches above/below the equation shown, but which don’t appear to relate to other equations... could they be relevant?
– eggyal
Dec 30 '18 at 2:08




There appear to be further matches above/below the equation shown, but which don’t appear to relate to other equations... could they be relevant?
– eggyal
Dec 30 '18 at 2:08










7 Answers
7






active

oldest

votes


















10















Move the right most I so that it forms a square root sign with the right most V. So it looks something like this: $VI=V+sqrt{1}$







share|improve this answer





















  • That is a nifty idea.
    – Marc
    Dec 29 '18 at 14:53










  • Really nice one :)
    – ABcDexter
    11 hours ago



















4














Something like this:




VII = V | VII (because 7=5|7, using bitwise |)




or:




VI ≠ V + VI







share|improve this answer

















  • 1




    Bitwise or is very clever. The ≠ trick doesn't work because you don't have a valid equation
    – Dr Xorile
    Dec 29 '18 at 14:50



















3














According to Wikipedia (emphasis added):





Zero



The number zero does not have its own Roman numeral, but the word nulla (the Latin word meaning "none") was used by medieval scholars in lieu of 0. Dionysius Exiguus was known to use nulla alongside Roman numerals in 525.[32][33]About 725, Bede or one of his colleagues used the letter N, the initial of nulla or of nihil (the Latin word for "nothing"), in a table of epacts, all written in Roman numerals.[34]


Therefore:




Move the final I to the front of the second V such that it forms an (italicised) N and one gets:



VI = N + VI


Which, in Arabic numerals, Bede (at very least) would have considered to be:


6 = 0 + 6






share|improve this answer





















  • Awesome first answer.
    – WAF
    Dec 30 '18 at 9:20










  • Thanks @WAF—but actually I came up with another answer that I have a hunch is more likely to be that which the setter had in mind?
    – eggyal
    20 hours ago



















1














How about this?




From: the right stroke of the right most V
To: intersect with the I on the right.
Outcome: VI=V+IxI (take x as multiplication sign)







share|improve this answer























  • These puzzles allow for some lateral thinking, but usually a slanted line cannot be a 1
    – Dr Xorile
    Dec 29 '18 at 14:44










  • I also though about something like that. But then the 1 is not really a 1.
    – Marc
    Dec 29 '18 at 14:49



















1















Take the matchstick that makes the final I, snap it in two, and place each half beneath the initial V to create an X. You’d therefore have:



XI = V + VI

Which, in Arabic numerals, is of course the valid equation:



11 = 5 + 6






share|improve this answer








New contributor




eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.


























    0














    How about:




    moving the second I in VII so it turns the equal sign equal to a less than or equal sign (VI is less than or equal to V + VI)







    share|improve this answer

















    • 3




      Then you wouldn't have "a valid equation"!
      – Dr Xorile
      Dec 29 '18 at 15:07



















    0














    Partial answer-ish




    Looking at the first V, if you take the right match and cross it over the first match, you get XI = V + VII or 11 = 5 + 7







    share|improve this answer



















    • 2




      That equation isn't correct, though.
      – Emmabee
      Dec 29 '18 at 17:11










    • Yeah, still working on it...
      – Chris Happy
      Dec 29 '18 at 17:12













    Your Answer





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    7 Answers
    7






    active

    oldest

    votes








    7 Answers
    7






    active

    oldest

    votes









    active

    oldest

    votes






    active

    oldest

    votes









    10















    Move the right most I so that it forms a square root sign with the right most V. So it looks something like this: $VI=V+sqrt{1}$







    share|improve this answer





















    • That is a nifty idea.
      – Marc
      Dec 29 '18 at 14:53










    • Really nice one :)
      – ABcDexter
      11 hours ago
















    10















    Move the right most I so that it forms a square root sign with the right most V. So it looks something like this: $VI=V+sqrt{1}$







    share|improve this answer





















    • That is a nifty idea.
      – Marc
      Dec 29 '18 at 14:53










    • Really nice one :)
      – ABcDexter
      11 hours ago














    10












    10








    10







    Move the right most I so that it forms a square root sign with the right most V. So it looks something like this: $VI=V+sqrt{1}$







    share|improve this answer













    Move the right most I so that it forms a square root sign with the right most V. So it looks something like this: $VI=V+sqrt{1}$








    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered Dec 29 '18 at 14:42









    Dr Xorile

    11.6k12466




    11.6k12466












    • That is a nifty idea.
      – Marc
      Dec 29 '18 at 14:53










    • Really nice one :)
      – ABcDexter
      11 hours ago


















    • That is a nifty idea.
      – Marc
      Dec 29 '18 at 14:53










    • Really nice one :)
      – ABcDexter
      11 hours ago
















    That is a nifty idea.
    – Marc
    Dec 29 '18 at 14:53




    That is a nifty idea.
    – Marc
    Dec 29 '18 at 14:53












    Really nice one :)
    – ABcDexter
    11 hours ago




    Really nice one :)
    – ABcDexter
    11 hours ago











    4














    Something like this:




    VII = V | VII (because 7=5|7, using bitwise |)




    or:




    VI ≠ V + VI







    share|improve this answer

















    • 1




      Bitwise or is very clever. The ≠ trick doesn't work because you don't have a valid equation
      – Dr Xorile
      Dec 29 '18 at 14:50
















    4














    Something like this:




    VII = V | VII (because 7=5|7, using bitwise |)




    or:




    VI ≠ V + VI







    share|improve this answer

















    • 1




      Bitwise or is very clever. The ≠ trick doesn't work because you don't have a valid equation
      – Dr Xorile
      Dec 29 '18 at 14:50














    4












    4








    4






    Something like this:




    VII = V | VII (because 7=5|7, using bitwise |)




    or:




    VI ≠ V + VI







    share|improve this answer












    Something like this:




    VII = V | VII (because 7=5|7, using bitwise |)




    or:




    VI ≠ V + VI








    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered Dec 29 '18 at 14:47









    chau giang

    411




    411








    • 1




      Bitwise or is very clever. The ≠ trick doesn't work because you don't have a valid equation
      – Dr Xorile
      Dec 29 '18 at 14:50














    • 1




      Bitwise or is very clever. The ≠ trick doesn't work because you don't have a valid equation
      – Dr Xorile
      Dec 29 '18 at 14:50








    1




    1




    Bitwise or is very clever. The ≠ trick doesn't work because you don't have a valid equation
    – Dr Xorile
    Dec 29 '18 at 14:50




    Bitwise or is very clever. The ≠ trick doesn't work because you don't have a valid equation
    – Dr Xorile
    Dec 29 '18 at 14:50











    3














    According to Wikipedia (emphasis added):





    Zero



    The number zero does not have its own Roman numeral, but the word nulla (the Latin word meaning "none") was used by medieval scholars in lieu of 0. Dionysius Exiguus was known to use nulla alongside Roman numerals in 525.[32][33]About 725, Bede or one of his colleagues used the letter N, the initial of nulla or of nihil (the Latin word for "nothing"), in a table of epacts, all written in Roman numerals.[34]


    Therefore:




    Move the final I to the front of the second V such that it forms an (italicised) N and one gets:



    VI = N + VI


    Which, in Arabic numerals, Bede (at very least) would have considered to be:


    6 = 0 + 6






    share|improve this answer





















    • Awesome first answer.
      – WAF
      Dec 30 '18 at 9:20










    • Thanks @WAF—but actually I came up with another answer that I have a hunch is more likely to be that which the setter had in mind?
      – eggyal
      20 hours ago
















    3














    According to Wikipedia (emphasis added):





    Zero



    The number zero does not have its own Roman numeral, but the word nulla (the Latin word meaning "none") was used by medieval scholars in lieu of 0. Dionysius Exiguus was known to use nulla alongside Roman numerals in 525.[32][33]About 725, Bede or one of his colleagues used the letter N, the initial of nulla or of nihil (the Latin word for "nothing"), in a table of epacts, all written in Roman numerals.[34]


    Therefore:




    Move the final I to the front of the second V such that it forms an (italicised) N and one gets:



    VI = N + VI


    Which, in Arabic numerals, Bede (at very least) would have considered to be:


    6 = 0 + 6






    share|improve this answer





















    • Awesome first answer.
      – WAF
      Dec 30 '18 at 9:20










    • Thanks @WAF—but actually I came up with another answer that I have a hunch is more likely to be that which the setter had in mind?
      – eggyal
      20 hours ago














    3












    3








    3






    According to Wikipedia (emphasis added):





    Zero



    The number zero does not have its own Roman numeral, but the word nulla (the Latin word meaning "none") was used by medieval scholars in lieu of 0. Dionysius Exiguus was known to use nulla alongside Roman numerals in 525.[32][33]About 725, Bede or one of his colleagues used the letter N, the initial of nulla or of nihil (the Latin word for "nothing"), in a table of epacts, all written in Roman numerals.[34]


    Therefore:




    Move the final I to the front of the second V such that it forms an (italicised) N and one gets:



    VI = N + VI


    Which, in Arabic numerals, Bede (at very least) would have considered to be:


    6 = 0 + 6






    share|improve this answer












    According to Wikipedia (emphasis added):





    Zero



    The number zero does not have its own Roman numeral, but the word nulla (the Latin word meaning "none") was used by medieval scholars in lieu of 0. Dionysius Exiguus was known to use nulla alongside Roman numerals in 525.[32][33]About 725, Bede or one of his colleagues used the letter N, the initial of nulla or of nihil (the Latin word for "nothing"), in a table of epacts, all written in Roman numerals.[34]


    Therefore:




    Move the final I to the front of the second V such that it forms an (italicised) N and one gets:



    VI = N + VI


    Which, in Arabic numerals, Bede (at very least) would have considered to be:


    6 = 0 + 6







    share|improve this answer












    share|improve this answer



    share|improve this answer










    answered Dec 30 '18 at 8:51









    eggyal

    1412




    1412












    • Awesome first answer.
      – WAF
      Dec 30 '18 at 9:20










    • Thanks @WAF—but actually I came up with another answer that I have a hunch is more likely to be that which the setter had in mind?
      – eggyal
      20 hours ago


















    • Awesome first answer.
      – WAF
      Dec 30 '18 at 9:20










    • Thanks @WAF—but actually I came up with another answer that I have a hunch is more likely to be that which the setter had in mind?
      – eggyal
      20 hours ago
















    Awesome first answer.
    – WAF
    Dec 30 '18 at 9:20




    Awesome first answer.
    – WAF
    Dec 30 '18 at 9:20












    Thanks @WAF—but actually I came up with another answer that I have a hunch is more likely to be that which the setter had in mind?
    – eggyal
    20 hours ago




    Thanks @WAF—but actually I came up with another answer that I have a hunch is more likely to be that which the setter had in mind?
    – eggyal
    20 hours ago











    1














    How about this?




    From: the right stroke of the right most V
    To: intersect with the I on the right.
    Outcome: VI=V+IxI (take x as multiplication sign)







    share|improve this answer























    • These puzzles allow for some lateral thinking, but usually a slanted line cannot be a 1
      – Dr Xorile
      Dec 29 '18 at 14:44










    • I also though about something like that. But then the 1 is not really a 1.
      – Marc
      Dec 29 '18 at 14:49
















    1














    How about this?




    From: the right stroke of the right most V
    To: intersect with the I on the right.
    Outcome: VI=V+IxI (take x as multiplication sign)







    share|improve this answer























    • These puzzles allow for some lateral thinking, but usually a slanted line cannot be a 1
      – Dr Xorile
      Dec 29 '18 at 14:44










    • I also though about something like that. But then the 1 is not really a 1.
      – Marc
      Dec 29 '18 at 14:49














    1












    1








    1






    How about this?




    From: the right stroke of the right most V
    To: intersect with the I on the right.
    Outcome: VI=V+IxI (take x as multiplication sign)







    share|improve this answer














    How about this?




    From: the right stroke of the right most V
    To: intersect with the I on the right.
    Outcome: VI=V+IxI (take x as multiplication sign)








    share|improve this answer














    share|improve this answer



    share|improve this answer








    edited Dec 29 '18 at 14:44









    Dr Xorile

    11.6k12466




    11.6k12466










    answered Dec 29 '18 at 14:31









    ladynoirminou2546

    192




    192












    • These puzzles allow for some lateral thinking, but usually a slanted line cannot be a 1
      – Dr Xorile
      Dec 29 '18 at 14:44










    • I also though about something like that. But then the 1 is not really a 1.
      – Marc
      Dec 29 '18 at 14:49


















    • These puzzles allow for some lateral thinking, but usually a slanted line cannot be a 1
      – Dr Xorile
      Dec 29 '18 at 14:44










    • I also though about something like that. But then the 1 is not really a 1.
      – Marc
      Dec 29 '18 at 14:49
















    These puzzles allow for some lateral thinking, but usually a slanted line cannot be a 1
    – Dr Xorile
    Dec 29 '18 at 14:44




    These puzzles allow for some lateral thinking, but usually a slanted line cannot be a 1
    – Dr Xorile
    Dec 29 '18 at 14:44












    I also though about something like that. But then the 1 is not really a 1.
    – Marc
    Dec 29 '18 at 14:49




    I also though about something like that. But then the 1 is not really a 1.
    – Marc
    Dec 29 '18 at 14:49











    1















    Take the matchstick that makes the final I, snap it in two, and place each half beneath the initial V to create an X. You’d therefore have:



    XI = V + VI

    Which, in Arabic numerals, is of course the valid equation:



    11 = 5 + 6






    share|improve this answer








    New contributor




    eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
    Check out our Code of Conduct.























      1















      Take the matchstick that makes the final I, snap it in two, and place each half beneath the initial V to create an X. You’d therefore have:



      XI = V + VI

      Which, in Arabic numerals, is of course the valid equation:



      11 = 5 + 6






      share|improve this answer








      New contributor




      eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
      Check out our Code of Conduct.





















        1












        1








        1







        Take the matchstick that makes the final I, snap it in two, and place each half beneath the initial V to create an X. You’d therefore have:



        XI = V + VI

        Which, in Arabic numerals, is of course the valid equation:



        11 = 5 + 6






        share|improve this answer








        New contributor




        eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.










        Take the matchstick that makes the final I, snap it in two, and place each half beneath the initial V to create an X. You’d therefore have:



        XI = V + VI

        Which, in Arabic numerals, is of course the valid equation:



        11 = 5 + 6







        share|improve this answer








        New contributor




        eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.









        share|improve this answer



        share|improve this answer






        New contributor




        eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.









        answered yesterday









        eggyal

        1412




        1412




        New contributor




        eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.





        New contributor





        eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.






        eggyal is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
        Check out our Code of Conduct.























            0














            How about:




            moving the second I in VII so it turns the equal sign equal to a less than or equal sign (VI is less than or equal to V + VI)







            share|improve this answer

















            • 3




              Then you wouldn't have "a valid equation"!
              – Dr Xorile
              Dec 29 '18 at 15:07
















            0














            How about:




            moving the second I in VII so it turns the equal sign equal to a less than or equal sign (VI is less than or equal to V + VI)







            share|improve this answer

















            • 3




              Then you wouldn't have "a valid equation"!
              – Dr Xorile
              Dec 29 '18 at 15:07














            0












            0








            0






            How about:




            moving the second I in VII so it turns the equal sign equal to a less than or equal sign (VI is less than or equal to V + VI)







            share|improve this answer












            How about:




            moving the second I in VII so it turns the equal sign equal to a less than or equal sign (VI is less than or equal to V + VI)








            share|improve this answer












            share|improve this answer



            share|improve this answer










            answered Dec 29 '18 at 14:53









            Excited Raichu

            6,09821065




            6,09821065








            • 3




              Then you wouldn't have "a valid equation"!
              – Dr Xorile
              Dec 29 '18 at 15:07














            • 3




              Then you wouldn't have "a valid equation"!
              – Dr Xorile
              Dec 29 '18 at 15:07








            3




            3




            Then you wouldn't have "a valid equation"!
            – Dr Xorile
            Dec 29 '18 at 15:07




            Then you wouldn't have "a valid equation"!
            – Dr Xorile
            Dec 29 '18 at 15:07











            0














            Partial answer-ish




            Looking at the first V, if you take the right match and cross it over the first match, you get XI = V + VII or 11 = 5 + 7







            share|improve this answer



















            • 2




              That equation isn't correct, though.
              – Emmabee
              Dec 29 '18 at 17:11










            • Yeah, still working on it...
              – Chris Happy
              Dec 29 '18 at 17:12


















            0














            Partial answer-ish




            Looking at the first V, if you take the right match and cross it over the first match, you get XI = V + VII or 11 = 5 + 7







            share|improve this answer



















            • 2




              That equation isn't correct, though.
              – Emmabee
              Dec 29 '18 at 17:11










            • Yeah, still working on it...
              – Chris Happy
              Dec 29 '18 at 17:12
















            0












            0








            0






            Partial answer-ish




            Looking at the first V, if you take the right match and cross it over the first match, you get XI = V + VII or 11 = 5 + 7







            share|improve this answer














            Partial answer-ish




            Looking at the first V, if you take the right match and cross it over the first match, you get XI = V + VII or 11 = 5 + 7








            share|improve this answer














            share|improve this answer



            share|improve this answer








            edited Dec 29 '18 at 17:12

























            answered Dec 29 '18 at 17:07









            Chris Happy

            33725




            33725








            • 2




              That equation isn't correct, though.
              – Emmabee
              Dec 29 '18 at 17:11










            • Yeah, still working on it...
              – Chris Happy
              Dec 29 '18 at 17:12
















            • 2




              That equation isn't correct, though.
              – Emmabee
              Dec 29 '18 at 17:11










            • Yeah, still working on it...
              – Chris Happy
              Dec 29 '18 at 17:12










            2




            2




            That equation isn't correct, though.
            – Emmabee
            Dec 29 '18 at 17:11




            That equation isn't correct, though.
            – Emmabee
            Dec 29 '18 at 17:11












            Yeah, still working on it...
            – Chris Happy
            Dec 29 '18 at 17:12






            Yeah, still working on it...
            – Chris Happy
            Dec 29 '18 at 17:12




















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