SOLUTION: House numbers on one side of a street are consecutive even integers. The sum of the first three house numbers on the street is 6216. What is the number of the third house?

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Question 777379: House numbers on one side of a street are consecutive even integers. The sum of the first three house numbers on the street is 6216. What is the number of the third house?
Answer by FrankM(1040) About Me  (Show Source):
You can put this solution on YOUR website!
Even numbers are of the form 2N where N starts at 1. So 3 consecutive numbers are 2N, 2N+2, 2N+4. We just need to solve for N.
2N+(2N+2)+(2N+4)= 6N+6=6216, 6N=6210, N=1035 and our numbers are
2070,2072,2074
ANS: 2074
Note - the 'easy way' to solve is 6216/3 = 2072 which is the middle number, and +2 for last house, -2 for first. Teachers like the first answer better.