Let the numbers be x and y. Set up our givens: x + y = 83 x - y = 17 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)