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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#

Combine like terms:

#2x + 1 = -239#

Subtract 1 from both sides:

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

Divide both sides by 2 to find x:

#(2x)/2 = (-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.