SOLUTION: How do the sum of four consecutive even integers equal -28

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Question 1105722: How do the sum of four consecutive even integers equal -28
Found 3 solutions by Alan3354, josgarithmetic, greenestamps:
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do the sum of four consecutive even integers equal -28
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They do it very well.

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
Some unknown integer, n

n%2B%28n%2B2%29%2B%28n%2B4%29%2B%28n%2B6%29=-28-------does this make sense? Can you solve for n?

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4n%2B12=-28
n%2B3=-7
highlight_green%28n=-10%29

Now can you answer YOUR question?

Answer by greenestamps(13209) About Me  (Show Source):
You can put this solution on YOUR website!


(1) Four consecutive even integers form an arithmetic progression.
(2) If the sum is -28, then the average is -7.
(3) So you need two even numbers on each side of -7.
(4) The four consecutive even integers with an average of -7 are -8 and -6, and -10 and -4.