House Number 12

The houses on a street are numbered 1, 2, 3, 4, 5, etc., up one side of the street; then the numbers continue consecutively on the other side of the street and work their way back to be opposite number 1.

If house number 12 is opposite house number 29, how many houses are there on both sides of the street?

Answer

There are 40 houses.

There are 16 houses between number 12 and number 29. Since half of those have to be on each side, there are 8 more houses on each side. This makes the last home on one side house number 20, and there must be 20 more homes going back up the street, which makes»a total of 40.

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