# If the sum of three consecutive odd integers is -87, what are the integers?

Apr 1, 2016

Let's call the integers $n , n + 2 , n + 4$ as there is always a difference of $2$ between consecutive odd integers.

#### Explanation:

Then $n + \left(n + 2\right) + \left(n + 4\right) = - 87$
$\to 3 n + 6 = - 87$ subtract 6 on both sides
$\to 3 n + \cancel{6} - \cancel{6} = - 87 - 6$
$\to 3 n = - 93 \to n = \frac{- 93}{3} = - 31$

So the numbers are $- 31 , - 29 , - 27$