Answer :

geerky42
Because multiply of these two number get you -32, one of these number must be negative.

And because sum of them are positive, positive number must be larger than that negative number (without minus sign)

So list of possible answers are:

-1, 32;  -2, 16;  -4, 8

And we can see that
-4+8 = 4

So these two numbers are 8 and -4.
SkyPeach
To answer this question, you should find the factors of -32, and the factors are: -1x32, -2x16, -4x8. All of these multiply to equal -32. But when you add them you see that only -4 and 8 add up to positive 4. Therefore, the two numbers are -4 and 8.