Tuesday, August 26, 2008

Puzzle: Determine the smallest integer

Here is a puzzle a friend forwarded to me recently:

Ten (not necessarily distinct) integers have the property that if all but one of them are added the possible results are: 82, 83, 84, 85, 87, 89, 90, 91, 92. What is the smallest of the integers?

(I'll post the solution and my method in a few days.)

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