# Three consecutive odd integers have a sum of 39. What are the numbers?

Dec 12, 2016

The three integers are $11$, $13$, and $15$.

#### Explanation:

We shall consider the integers as $x$, $\left(x + 2\right)$, and $\left(x + 4\right)$. The sum of these is $39$, so we can write:

$x + \left(x + 2\right) + \left(x + 4\right) = 39$

Open the brackets and simplify.

$x + x + 2 + x + 4 = 39$

$3 x + 6 = 39$

Subtract $6$ from each side.

$3 x = 33$

Divide both sides by $3$.

$x = 11$

Therefore: $\left(x + 2\right) = 13$ and $\left(x + 4\right) = 15$