Question: Everyday a peasant must pay the king one pound of gold and leave it on a collection plate in front of his house. Every morning a guard comes by to make sure he has put a pound of gold on the plate. The king collects the gold every six days from the plate. If the peasant only has one six pound block of gold, how can he make only two parallel cuts and still follow the kings rules each day?
Answer: He can cut one pound off and two pounds off. This would leave a one pound, two pound, and three pound block. On the first day he leaves the one pound block. On the second day he leaves the two pound block. On the third day he leaves the three pound block. On the fourth day he leaves the three pound and one pound blocks. On the fifth day he leaves the three pound and two pound blocks. On the last day he leaves all of them.
Question: Hard, Harder, and Hardest are brothers. By age from youngest to oldest, it goes Hard, Harder, Hardest. Hard is half the age of Hardest who is 20 which means hard is 10. Harder has a two-year difference between the number of years older he is than Hard and the number of years younger he is than Hardest. Harder is closer to the age of Hard than Hardest. How old is Harder?