Puzzles & Brain Teasers
Nine Coins
You are given nine coins.
One of the coins is a fake and slightly lighter than the others but otherwise
they all appear similar.
Using a simple balancing scale determine which is the fake coin.
You can use the scales TWICE only.
ANSWER

In other words...
Divide the coins into three sets of three.
Put one of the sets aside and weigh the remaining two sets.
If the scales balance then the fake coin is in the third set.
Take the third set, put one of the coins to one side and weigh the remaining
two.
If again the scales balance the fake coin is the one which has been put
aside. If the scales do not balance then the fake coin is the lighter
of the pair.
If the scales do not balance then the fake coin is in the lighter set.
Take the lighter set and place one of the coins to one side. Weigh the
remaining two. If the scales balance the fake is the one which has been
put aside. If the scales do not balance then the fake coin is the lighter
of the pair.
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