SOLUTION: Given three consecutive even integers. Find the largest integer if the second plus twice the third is 4 times the first

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Question 1142958: Given three consecutive even integers. Find the largest integer if the second plus twice the third is 4 times the first
Answer by ikleyn(52787) About Me  (Show Source):
You can put this solution on YOUR website!
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If the numbers are  n, (n+2) and (n+4), then your equation is


    (n+2) + 2*(n+4) = 4n.


Simplify and solve for n


    n+2 + 2n + 8 = 4n

    2        + 8 = 4n - n - 2n

    10           = n


ANSWER.  The numbers are 10, 12 and 14;  the largest is 14.