Question 836732
Let the numbers be x and y

Sum of numbers , x+y=32 equation 1

Difference of numbers , x-y=16 equation 2

Solving equations 1 and 2 simultaneously

Equation 1 minus equation 2


x+y=32
x-y=16

2y=16
y=8. 

Putting y=8 into equations 1

x+8=32
x=32-8
x=24

Hence the numbers are 24 and 8