Answer:
The numbers are (x,y)=(-5,8) or (8,-5)
Step-by-step explanation:
Let two numbers be x and y,
We have,
x+y=3
x=3-y---(i)
Now,
xy=-40
(3-y)y=-40 [From (i)]
3y-y^2=-40
y^2-3y-40=0
Factoring,
(y + 5) (y - 8)=0
Either,
y+5=0 or, y-8=0
y=-5 y=8
When y=-5,
x=3-y
3--5
3+5
8
When y=8,
x=3-y
3-8
-5