# How can you use a simple balance three times to determine which coin is counterfeit?

You have twelve coins, one of which is a counterfeit and weighs less than the legal coins. How can you use a simple balance three times to determine which coin is a counterfeit?

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You made it easy by saying that the coin is lighter.

You simply

1. put 6 coins on each side of the balance and see which side is lighter

2. take the 6 coins from the lighter side and arrange 3 on each side of the balance.

3. take the 3 coins from the lighter side once again, and put 1 coin on each side (doesnâ€™t matter which of those coins you pick)

A. if the 2 coins are the same weight, then the third one is the counterfeit

B. if one of the coins is lighter, the lighter coin is the counterfeit!

done!