SOLUTION: The sum of four consecutive even integers is -124

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Question 1164274: The sum of four consecutive even integers is -124
Found 2 solutions by josgarithmetic, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Integers x, x+2, x+4, x+6
x is even.

x%2Bx%2B2%2Bx%2B4%2Bx%2B6=-124
.
.
-34, -32, -30, -28

Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Consecutive even integers form an arithmetic sequence; the numbers are evenly spaced.

The average of the four integers is -124/4 = -31; so the four integers are the two even integers on either side of -31:

-34, -32, -30, and -28.