Two numbers have a sum of 70. Their difference 32 what are the numbers?



Two numbers have a sum of 70. Their difference 32 what are the numbers?

Let us call the 2 numbers x and y, so we set up two equations:
Equation 1: x + y = 70.
Equation 2: x - y = 32

Rearrange Equation 2, Solve for y:
x = 32 + y

Plugging this into Equation 1 for x, we get:
(32 + y) + y = 70.
2y + 32 = 70.

Subtract 32 from each side of the equation to get:
2y = 70. - 32
2y = 38

Divide each side of the equation by 2:
2y
2
=
38
2

y = 19

Plug our y value of 19 back into our Equation 1 to solve for x:
x + 19 = 70.
Subtract 19 from both sides of the equation
x = 51

Prove our answer:
Equation 1: 51 + 19 = 70.
Equation 2: 51 - 19 = 32