# Four consecutive integers add up to 54. What are the numbers?

May 14, 2016

12, 13, 14, 15

#### Explanation:

Let the four numbers be $x , x + 1 , x + 2 , \mathmr{and} x + 3$

The sum of these numbers is $4 x + 6$ and equals 54.

$4 x + 6 = 54$

$4 x + 6 - 6 = 54 - 6$

$4 x = 48$

$\frac{4 x}{4} = \frac{48}{4}$

$x = 12$

$12 + 1 , 12 + 2 , 12 + 3 = 13 , 14 , 15$