SOLUTION: Find four consecutive even integers such that the product of -2 and the sum of the first and fourth is 20 less than the opposite of the third.

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Question 348627: Find four consecutive even integers such that the product of -2 and the sum of the first and fourth is 20 less than the opposite of the third.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 4 integers be N, N%2B2, N%2B4, and N%2B6.
-2%28N%2BN%2B6%29=-%28N%2B4%29-20
-2%282N%2B6%29=-N-4-20
4N%2B12=N%2B24
3N=12
highlight%28N=4%29
The integers are 4,6,8, and 10.