Sunset Boulevard

Question:

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?

.

.

C

A

P

T

A

I

N

I

N

T

E

R

V

I

E

W

.

.

Solution: The address is 1460 Sunset Boulevard.
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. The average number is 1465 (8790 / 6).
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.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Google+ photo

You are commenting using your Google+ account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

w

Connecting to %s