PROBLEM:
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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SOLUTION:
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.