*X* and

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

What is *X + Y* ?

Hmm, I tried simultanoues equation and what-so-ever mathematical method and well, it was in vain. Ultimately, I used another way to look at it. I tought that 5and 2 were the factors of 10, then later, after waking up the next morning, I saw the relation between 10 and 100000, 100000=10^5. So, 100000=(5x2)^5=(5^5)(2^5).

Thus, x and y are respectively 32 and 3125.

and the sum is 3157.