Riddle #303

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: 13112221 Read off the digits of the previous member and count the number of digits in groups of the same digit. There is one # 3, one # 1, two #2s, and two #1, thus, 13112221.

Answer: False. Every year that is exactly divisible by four is a leap year, except for years that are exactly divisible by 100, but these centurial years are leap years if they are exactly divisible by 400. For example, the years 1700, 1800, and 1900 are not leap years, but the years 1600 and 2000 are. So 3 out of every 400 years are not leap years.

Answer: A ship or a boat. Life here is the ocean.

Answer: February, it's the shortest month after all.

Answer: 95 years old Because he's half my age when I was 10 so he's 5 years old so I'm only 5 years older 100-5=95