Saturday, September 6, 2014

Finding the heavy coin puzzle

[This is a nice puzzle from a Russian mathematics contest for 8th graders]

You have 100 coins. 96 of them have the same weight. The remaining 4 are lighter than the other 96, and those 4 have the same weight.

You are given a pan balance which has two pans, and you can compare if the objects in the left pan are heavier/lighter/equal to the objects in the right pan.

You are allowed to use this pan no more than 2 times.

Can you find a heavy coin?

[Solution]

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