no1tovote4
Gold Member
gop_jeff said:You have nine coins. One of the nine is counterfeit. The counterfeit coin can only be distinguished by weight - it is heavier than the rest. Using a balance scale only twice, how would you find the counterfeit coin?
Okay, I would seperate them into groups of three. Then measure two of the groups together. If the two balanced the bad coin is in the group I did not put on the balance, if one is heavier than the other then the coin is in that group. Take the other two groups and pocket them.
Take two of the coins in the remaining group and put them on the balance. If they weigh the same the remaining coin is the bad one, if one is heavier than the other then it is the counterfeit.
Throw the counterfeit away and pocket the other two coins!