# The sum of two numbers is twenty-two. One number is two less than the other. How do you find the numbers?

Mar 6, 2018

The two numbers are color(green)(12, 10

#### Explanation:

Let one number be color(red)(x. Then the other number will be color(red)(x - 2

Given sum of the two numbers = 22.

Hence $x + \left(x - 2\right) = 22$

Removing the bracket, $x + x - 2 = 22$

$2 x - \cancel{2} + \cancel{2} = 22 + 2$, adding 2 to both sides.

$2 x = 24$ or x = 24 / 2 = color(green )(12

Other number is x - 2 = 12 - 2 = color(green)(10