# The difference of two numbers is 18. If the two numbers increase by 4, then one number is 4 times larger than the other. What are those numbers?

Jun 14, 2018

$- 26$ and $- 8$

#### Explanation:

First equation:
$x - y = 18$

Second equation:
$4 \left(x + 4\right) = y + 4$
$y = 4 x + 6$

Substitute the second equation into the first one:
$x - \left(4 x + 6\right) = 18$
$x = - 8$

Solve for $y$:
$y = 4 \left(- 8\right) + 6$
$y = - 26$