SOLUTION: Find four consecutive even integers so that the sum of the first three is 2 more than twice the fourth

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Question 232816: Find four consecutive even integers so that the sum of the first three is 2 more than twice the fourth

Answer by mando271(42) About Me  (Show Source):
You can put this solution on YOUR website!
let the 1st integer be x.
since they have to be consecutive, the 2nd will be x+2, the 3rd x+4 and the 4th x+6.
so,
x+x+2+x+4 = 2(x+6)+2, now solve for x
3x+6 = 2x+12+2
x=8
so substituting 8 for x. the integers are:
8, 10, 12, 14