Good Riddles

Answer: His daughters are 8, 3, and 3. The prime factorization of 72 is 2 * 2 * 2 * 3 * 3, so the possible ages are 2, 3, 4, 6, 8, 9, 12, and 18. Using the prime factorization and these numbers the only combinations of numbers that work for the first clue are:

18, 2 and 2.
9, 4 and 2.
6, 6 and 2.
6, 4 and 3.
8, 3, and 3.

Since he doesn't know the ages after this piece of information the sum of the three numbers must not be unique. The sum of 8, 3, and 3; and 6, 6, and 2 are the same. Now the final clue comes in handy. Since we know that the oldest daughter has her own bed it is likely that she has the bed to herself and is older than the other two so there ages are 8, 3, and 3 rather than 2, 6 and 6.

Answer: Red paint. All paint smells and pours the same. It is the same color as the red truck.

Answer: The letter 'x'. It is the 24th letter of the alphabet, XX in Roman numerals is 20, and XXX is a label for movies that are very inappropriate (unclean).

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.

Answer: All apples grow on trees.