# How do you find 3 consecutive odd integers whose sum is 51?

Apr 3, 2018

The consecutive odd integers are $15 , 17$ and $19$.

#### Explanation:

Call the first odd integer $' n '$, then the second will be $n + 2$ and the third $n + 4$.

So $n + n + 2 + n + 4 = 51$.

Collect like terms:

$3 n + 6 = 53$
$3 n = 45$
$n = \frac{45}{3} = 15$.