A very wise magician decided that it was time to retire and give way to his successor, so he set at his 3 sorcerer, the following problem:
We have 12 golden pounds, but one of them is phony. Also we do not know if the fake weighs more or less than the true pound. We have a scale which simply compares two weights together.
How can we find the fake pound with only 3 weighings?
and promised ... the one who finds a solution would be most worthy to succeed him ....