SOLUTION: Find 4 consecutive even intergers such that the largest is 2 more than half the sum of the first 3 integers

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Question 168655: Find 4 consecutive even intergers such that the largest is 2 more than half the sum of the first 3 integers
Answer by Mathtut(3670) About Me  (Show Source):
You can put this solution on YOUR website!
lets call our consecutive even integers: x, x+2, x+4, x+6
(x+6)=1/2(x+(x+2)+(x+4))+2------multiply all terms by 2
2x+12=x+x+2+x+4+4
:
2x+12=3x+10
:
highlight%28x=2%29 so integers are 2,4,6,and 8