# The sum of three consecutive odd integers is 1,509, what are the integers?

Feb 6, 2016

501, 503, 505

#### Explanation:

Let the integers are $x - 2 , x , x + 2$

According to the given condition,

The sum of three consecutive odd integers is 1,509.

$x - 2 + x + x + 2 = 1509$

$3 x = 1509$

$x = \frac{1509}{3}$

$x = 503$

Numbers are
$x - 2 = 503 - 2 = 501$

$x = 503$

$x + 2 = 503 + 2 = 505$