Inspired by these series of puzzles, tell me a correct way by which adding 22 to 4 will give either 495 or 505.

As in the other puzzles, these numbers are all expressed in base 10.

  • 1
    $\begingroup$ Come on, another one? These are getting stale $\endgroup$
    – KoA
    Commented May 29, 2016 at 9:12
  • $\begingroup$ @KoA yeah too boring isn't it escpecially with the fan followings $\endgroup$ Commented May 29, 2016 at 9:18

1 Answer 1


I think you get these answers by

Converting each of the numbers to a letter of the alphabet with the convention 1=A, 2=B, etc, so that 4=D and 22=V.

Then, concatenate the letters so that you obtain either DV or VD and interpret the result as a Roman numeral so
DV=505 and VD could perhaps be interpreted as 495.

  • 1
    $\begingroup$ But... 495 is CDXCV ! $\endgroup$
    – Fabich
    Commented May 29, 2016 at 12:12
  • $\begingroup$ Yes, we're using our Roman numerals very liberally here. $\endgroup$
    – hexomino
    Commented May 29, 2016 at 13:43

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