Question

Goodmorning.
Find two consecutive odd integers such that their sum is 32 and their product is 255.

Answer 1

I basically just did trial and error. There has got to be a better way of getting the answer. I tried 16x16=256 then I tried 17x15 = 255. In this situation there are only a limited amount of things to try, but a larger question would be troublesome.

Answer 2

15 && 17?