The sum of two numbers is 63, and their difference is 7. Find the numbers. Use x - (63-x) = 7

The two numbers are 28 and 35.

Step-by-step explanation:

x + y = 63

x - y = 7

Get one equation with one variable. We can't solve for a variable if we had two variables in one equation.

Add the two equations together.

2x = 70

x = 35

You see, the y's canceled out and we can solve for x.

Now plug x back in to solve for y.

35 - y = 7

-y = - 28

y = 28