How do you find three consecutive even integers with a sum of -84. Please help!

2 answers:

mote1985 [20]3 years ago

6 0

3 consecutive even integers : x, x + 2, x + 4

x + (x + 2) + (x + 4) = -84.....combine like terms
3x + 6 = - 84.......subtract 6 from each side
3x = -84 - 6
3x = - 90...divide both sides by 3
x = -90/3
x = -30

x + 2 = -30 + 2 = -28
x + 4 = -30 + 4 = -26

so ur 3 numbers are : -26, -28, -30

matrenka [14]3 years ago

4 0

Since they are consecutive even integers, they would differ by 2.

Let the first even integer be x.

x , x + 2, x + 4

Sum = -84

x + x + 2 + x + 4 = -84

x + x + x + 2 + 4 = -84

3x + 6 = -84

3x = -84 - 6

3x = -90

x = -90/3

x = -30

Hence the even integers are: x, x + 2 , x + 4

-30, -30 + 2, -30 + 2 + 2

-30, -28, -26

Hence the consecutive even integers are: -30, -28, -26

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