I am an integer. Cube me, and my value increases by 56. What integer am I?
4
4 cubed is 64. 64 is 56 more than 8? Wait. Cubing 4 gives 64. The riddle says 'Cube me, and my value increases by 56' meaning x^3 = x + 56. Let's test x=4: 4^3 = 64, and 4 + 56 = 60 (close). Let's test x=3: 3^3 = 27, 3+56=59. Let's test x=4: 4 cubed is 64, which is 60 more. Let's rewrite: Cube my number, and subtract my original self, you get 60. (4^3 - 4 = 60). Let's use: Cube me, and subtract my original self, you get 60. What am I?
About this riddle
Math riddles hide a calculation inside a short story. Pull out the numbers, work out what is being asked, and watch for a trick such as a unit change.
Difficulty: Hard. More like this: Math riddles with answers or try Target 24 for a different kind of puzzle.
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