# Question #3098c

May 15, 2017

181 and 169

#### Explanation:

This is a simultaneous equation problem.

Let $x$ be one of the numbers, and $y$ be the other.
$x + y = 350$
$x - y = 12$

Let's solve by eliminating b since one of the equation is $+ y$ and the other is $- y$.

$2 x = 362$

Divide both sides of the equation by $2$

$x = 181$

Substitute $x = 181$ into either of the equations

If you chose the first one,

$181 + y = 350$

Take away 181.

$y = 169$

If you chose the second one,

$181 - y = 12$

Add $y$ to both sides

$181 = y + 12$

Take away 12 from both sides

$y = 169$