# How do you find two consecutive odd integers whose sum is 36?

Apr 6, 2018

$17$ and $19$.

#### Explanation:

Let $n$ denote the first odd integer.
If the two integers are consecutive and odd, then the second number is $n + 2$.

Hence, $n + n + 2 = 36$

$\setminus \implies 2 n = 34$

$\setminus \implies n = 17$.

Therefore, the numbers are $17$ and $19$.

Apr 6, 2018

$\therefore 17 + 19 = 36$

#### Explanation:

If the odd numbers are consecutive, they must be on either side of half of 36.

$18 + 18 = 36$

$\therefore 17 + 19 = 36$