# The sum of two numbers is 48. One number is 3 times as large as the other. What are the numbers?

May 31, 2018

The two numbers are
$22.5 \mathmr{and} 25.5$

#### Explanation:

Let the numbers be
$x \mathmr{and} y .$
$y - x = 3$
$y + x = 48$
$2 y = 51$
$y = \frac{51}{2} = 25.5$
$- 2 x = - 45$
$x = \frac{- 45}{- 2} = 22.5$
$l h s = y - x = 25.5 - 22.5 = 3 = r h s$
$l h s = x + y = 22.5 + 25.5 = 48 = r h s$
$22.5 \mathmr{and} 25.5$