# The sum of 2 consecutive odd integers is 1344, how do you find the two integers?

Feb 1, 2016

The two odd integers are $671$ and $673$

#### Explanation:

If $n$ represents the smaller of the two consecutive odd integers then $n + 2$ represents the larger.

We are told
$\textcolor{w h i t e}{\text{XXX}} \left(n\right) + \left(n + 2\right) = 1344$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 2 n + 2 = 1344$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow 2 n = 1342$

$\textcolor{w h i t e}{\text{XXX}} \rightarrow n = 671$
and
$\textcolor{w h i t e}{\text{XXX}} n + 2 = 673$