# The sum of two consecutive odd integers is -16. What are the two integers?

Jan 8, 2017

The two integers are $- 9$ and $- 7$

#### Explanation:

We will let the first integer be $x$. The because these are consecutive ODD integers we need to add two to the first integer or $x + 2$.

We can now write and solve for $x$:

$x + \left(x + 2\right) = - 16$

$x + x + 2 = - 16$

$2 x + 2 = - 16$

$2 x + 2 - \textcolor{red}{2} = - 16 - \textcolor{red}{2}$

$2 x + 0 = - 18$

$2 x = - 18$

$\frac{2 x}{\textcolor{red}{2}} = - \frac{18}{\textcolor{red}{2}}$

$\frac{\textcolor{red}{\cancel{\textcolor{b l a c k}{2}}} x}{\cancel{\textcolor{red}{2}}} = - 9$

$x = - 9$

So the first integer is $- 9$ and we know the second integer is $x + 2$ or $- 9 + 2 = - 7$