The sum of two integers is 54 and their difference is 10.

Solve for x first

X+y=54

X-y=10

Add

2x=64

Divide

X=64/2

X= 32

So now get one equation and substitute x to solve for y

32+y=54

Y=54-32

Y= 22

So your two numbers is 32 and 22.

To check substitute

32+22=54

32-22=10

They check

step-by-step explanation:

you can add the two numbers and divide the result by 2. or you can find the gap between the two numbers and add half of this to the smaller number.