Lets divide the 9 coins randomly into 3 group, A,B & C.
First we will take group A and B to compare. Then for EG. Group A is heavier then group B, so the counterfeit coin is sure to be 1 of the coins in group A.Then from Group A, we will take any 2 coin to compare the weigh, if 1 of them is heavier, that would be the counterfeit coin and if the scale is balanced, the last coin that is not weighed would be the counterfeit coin.
Then if the weight of Group A and B is the same, the counterfeit coin would then be one of the coins in group C. So, we will take any 2 coin in group C to compare the weigh, if both are equal, that would mean that the counterfeit coin is the last coin that have not been weighed.
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