Question #e54ed

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Answer 1 · 2017-06-25T20:24:27

-120 and -119

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

$x + x + 1 = - 239$ $x + x + 1 = -239$

Combine like terms:

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

Subtract 1 from both sides:

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

Divide both sides by 2 to find x:

$\frac{2 x}{2} = \frac{- 240}{2}$ $(2x)/2 = (-240)/2$

$x = - 120$ $x = -120$

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

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

The two integers are -120 and -119.