## Algebra: A Combined Approach (4th Edition)

$46,78$
let's call the two numbers $x, y$ We know that: $x + y = 124$ and $x - y = 32$ By the first equation $x + y = 124$ $x + y - y = 124- y$ $x = 124- y$ let's use the second equation and switch $x$ for $124-y$ $x - y = 32$ $124-y - y = 32$ $-2y + 124= 32$ $-2y + 124- 124= 32- 124$ $-2y = -92$ $-2y \times \frac{-1}{2} = -92\times \frac{-1}{2}$ $y = 46$ Therefore $x = 124- y = 124- 46= 78$