# The sum of 3 consecutive integers is -30. What are the numbers?

May 24, 2016

Integers are $- 11$, $- 10$ and $- 9$

#### Explanation:

Let the consecutive integers be $x$, $x + 1$ and $x + 2$

Hence $x + x + 1 + x + 2 = - 30$

or $3 x + 3 = - 30$

or $3 x = - 30 - 3 = - 33$

or $x = - \frac{33}{3} = - 11$

Hence integers are $- 11$, $- 10$ and $- 9$