What’s my address?

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I live on Sunset Boulevard, where there are 6 houses on my side of the block.  The house numbers are consecutive even numbers.  The sum of all 6 house numbers is 8790.  You don’t know which block I live on, and it’s a long street, but I will tell you that I live in the lowest number on my side of the block.  What’s my address?

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    My address is 1460 Sunset Boulevard.  First, you know that the house numbers are even and consecutive, so they must be approximately 1/6th the value of the sum (8790). In fact, the number that is 1/6th the total is the mean (average) for all 6 houses!  This number, 1465 (8790 / 6), is how you come to the conclusion.  There must be 3 house numbers greater than that number, and 3 house numbers less than that number, all being even and consecutive.

    Therefore, the 6 house numbers are 1460, 1462, 1464, 1466, 1468, 1470.  The lowest house number, as per the question, is the answer: 1460.

    pnikam Expert Answered on 22nd August 2015.
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    Easiest way to solve this is: X+(X+2)+(X+4)…+(X+10)= 8790. Solve for X, and that’s the lowest address, as you can see from the equation.

    toby001 Starter Answered on 16th February 2017.
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