X and Y are positive integers, neither of which is divisible by 10. Their product is 100,000.

What is X + Y ?

The factors of 100,000 are 2⁵ and 5⁵. As the factors of 10 are 2 and 5, in order that both X and Y are not divisible by 10, X and Y each must be solely composed of one of the two factors; that is, e.g., X = 2⁵ (= 32) and Y = 5⁵ (= 3125).  The sum of the two numbers is 3157 (= 32 + 3125).

Posted by Dej Mar on 2008-06-21 01:38:41