# How do you find three consecutive odd integers whose sum is 69?

Jun 5, 2015

Let the smallest of the three consecutive odd numbers be $x$

The next two consecutive odd integers can be written as $\left(x + 2\right) , \left(x + 4\right)$

$\left(x\right) + \left(x + 2\right) + \left(x + 4\right) = 69$
$3 x + 6 = 69$
$3 x = 63$
 color(purple)(x = 63/ 3 = 21
so ,$x + 2 = 23 , x + 4 = 25$
The numbers are color(purple)(21,23,25