Answer
$12,64$
Work Step by Step
let's call the two numbers $x, y$
We know that: $x + y = 76$ and $x - y = 52$
By the first equation $x + y = 76$
$x + y - y = 76- y$
$x = 76 - y$
let's use the second equation and switch $x$ for $76-y$. $x - y = 52$ $76-y - y = 52$
$-2y + 76= 52$
$-2y + 76- 76= 52- 76$
$-2y = -24$
$-2y \times \frac{-1}{2} = -24\times \frac{-1}{2}$
$y = 12$ Therefore $x = 76- y = 76- 12= 64$
So the numbers are $12,64$
