# The sum of four consecutive integers is -42. What are the integers?

Oct 6, 2016

The integers are $- 12 , - 11 , - 10 , - 9$

#### Explanation:

Recall: Consecutive numbers follow each other and are separated by 1 each time, [Like 13, 14, 15, 16, 17 ...]

Let the four integers be $x , x + 1 , x + 2 , x + 3$

Their sum is -42. Form an equation to show this.

$x + x + 1 + x + 2 + x + 3 = - 42 \text{ } \leftarrow$ now simplify

$4 x + 6 = - 42 \text{ } \leftarrow$ now solve the eqution

$4 x = - 42 - 6$

$4 x = - 48$

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

$x = - 12 \text{ } \leftarrow$ this is the smallest of the integers,

The integers are $- 12 , - 11 , - 10 , - 9$