Question

The product of 2 numbers is 918 one number is 37 less than the other what are the numbers

Answer 1

xy=918
x-37=y
x=918/y
(918/y)-y=37
(y^2)+37y-918=0
Using quadratic formula the two possibilities of y are 17 and -54.
If y=17, x=54. If y=-54, x=-17. Both of these work.

So there are two possible answers:
1. -17 and -54
2. 17 and 54