Question #e54ed

Jun 25, 2017

-120 and -119

Explanation:

Let's create an equation for this problem!

We should have 3 parts in this equation for the 3 parts of the problem:

The sum of two consecutive integers is -239.

If the first integer is x, then the second consecutive integer must be x + 1. The sum of these two is -239. So our equation is

$x + x + 1 = - 239$

Combine like terms:

$2 x + 1 = - 239$

Subtract 1 from both sides:

$2 x + 1 - 1 = - 239 - 1$
$2 x = - 240$

Divide both sides by 2 to find x:

$\frac{2 x}{2} = \frac{- 240}{2}$

$x = - 120$

If the first integer (x) is -120, then the next integer (x + 1) should be

$x + 1$
$- 120 + 1$
$- 119$

The two integers are -120 and -119.