I am a three-digit number whose digits strictly increase from left to right. My hundreds digit is prime, my tens digit is a perfect square, and my ones digit is the cube of a prime number. If the sum of my digits is 15, what number am I?
348
The only single-digit cube of a prime is 2^3 = 8, making the ones digit 8. The hundreds and tens digits must sum to 15 - 8 = 7. Choosing hundreds = 3 (prime) and tens = 4 (square) gives 348, where 3 < 4 < 8.
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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