Two numbers total 83 and have a difference of 17 find the two numbers

Let the numbers be x and y. Set up our givens:

1. x + y = 83
2. x - y = 17
3. Rearrange (2), by adding y to each side, we have: x = 17 + y

Substitute (3) into (1):
(17 + y) + y = 83

Group y terms
2y + 17 = 83

Using our equation solver, we get:
y = 33

Substitute that into (3)
x = 17 + 33
x = 50

So our two numbers (x, y) = (33, 50)