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4 March, 08:23

Steven has 9 gold coins that are identical in appearance. However, one coin is counterfeit and weighs slightly less than the others. Using a balance scale, how can he find the counterfeit coin in just two weighings?

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  1. 4 March, 11:42
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    Split the coins into three groups, A, B and C consisting of 3 coins in each group.

    Weigh: A--B

    1. If A=B, the the counterfeit is in group C

    Weigh any two coins in group C and figure out the rest.

    2. If A≠B, then the counterfeit is in the lighter group.

    Weigh any two coins in the lighter group and figure out the rest.
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