# The sum of two consecutive integers is -247. What are the numbers?

Apr 28, 2016

The two numbers are $- 124$ and $- 123$

#### Explanation:

Two consecutive integers have a sum of -247

The consecutive integers can be expressed as

$x$
$x + 1$

The equation becomes

$x + x + 1 = - 247$

$2 x + 1 = - 247$

$2 x \cancel{+ 1} \cancel{- 1} = - 247 - 1$

$2 x = - 248$

$\frac{\cancel{2} x}{\cancel{2}} = - \frac{248}{2}$

$x = - 124$

$x + 1 = - 124 + 1 = - 123$

The two numbers are $- 124$ and $- 123$