# The sum of three consecutive odd integers is 279, what are the integers?

May 27, 2015

Suppose the integers are $n$, $n + 2$ and $n + 4$

We have:

$279 = n + \left(n + 2\right) + \left(n + 4\right) = 3 n + 6$

Subtract $6$ from both sides to get:

$3 n = 273$

Divide both sides by $3$ to get:

$n = 91$

So the 3 integers are:

$91 , 93 , 95$