# The sum of two numbers is 19 and their difference is 3. What are the two numbers?

May 23, 2018

color(crimson)(x = 11

#### Explanation:

Let ‘x’ & ‘y’ be the two numbers.

$x + y = 19$, Eqn (1)

$x - y = 3$, Eqn (2)

$x + \cancel{y} + x - \cancel{y} = 19 + 3$
$2 x = = 22$ or $= {\cancel{22}}^{\textcolor{red}{11}} / \cancel{2}$
color(crimson)(x = 11