Answer:
The numbers are 47 and -75
Explanation:
Let the numbers be x and y
According to given conditions:
x + y = -28 ......... eq 1
x - y = 122 ............eq 2
Adding both equations we get:
(x + y ) + (x - y) = -28+ 122
Simplifying:
x + y +x - y = 94
Adding like terms
2x = 94
dividing both sides by 2
x = 94/2
x = 47
Putting x =47 in eq 1 we get
x + y = -28
47 + y = - 28
subtracting 47 from both sides
47 - 47 + y = -28 - 47
y = - 75
So the numbers are 47 and -75
Proof:
47 + (-75) = 47 - 75 = -28
47 - (-75)= 47 + 75 = 122
hence proved
I hope it will help you!