# The sum of three consecutive integers is -75. What are the integers?

Mar 13, 2018

The numbers are $- 26 , - 25$ and $- 24$.

#### Explanation:

Let the numbers $a , a + 1 \mathmr{and} a + 2$

$a + \left(a + 1\right) + \left(a + 2\right) = - 75$

$3 a + 3 = - 75$

$3 a = - 78$

$a = - \frac{78}{3}$

$a = - 26 \implies$

$a + 1 = - 26 + 1 = - 25$

$a + 2 = - 26 + 2 = - 24$

The numbers are -26, -25 and -24.