What adds to - 8 and multiplies to - 20

My answer is - 10 and 2 add to - 8 and multiply to - 20

I assume that you are talking about 2 integers

one of the integers must be negative while the other is positive

we can list integer pairs that multiply to - 20:

-20 1

20 - 1

-10 2

10 - 2

5 - 4

-5 4

now the only pair that when you add them together equals - 8 is - 10 and 2, so

-10 and 2 add to - 8 and multiply to - 20