Puzzles
Puzzle 1 | (Find ages of daughters)
Ajay has three daughters. His friend Sunder wants to know the ages of his daughters. Ajay gives him first hint.
1) The product of their ages is 72.
Sunder says this is not enough information Ajay gives him a second hint.
2) The sum of their ages is equal to my house number.
Sunder goes out and look at the house number and tells “I still do not have enough information to determine the ages”.
Ajay admits that Sunder can not guess and gives him the third hint
3) The oldest of the girls likes strawberry ice-cream.
Sunder is able to guess after the third hint. Can you guess what are the ages of three daughters?
| Mike is a butcher. He is 5’10” tall. What does he weigh?
1) Product of ages is 72 Below are all possibilities to get 72 from product of three different ages: 1 * 1 * 72 = 72 1 * 2 * 36 = 72 1 * 3 * 24 = 72 1 * 4 * 18 = 72 1 * 6 * 12 = 72 1 * 8 * 9 = 72 2 * 2 * 18 = 72 2 * 3 * 12 = 72 2 * 4 * 9 = 72 2 * 6 * 6 = 72 3 * 3 * 8 = 72 3 * 4 * 6 = 72 2) Sum of the ages is given 1 + 1 + 72 = 74 1 + 2 + 36 = 39 1 + 3 + 24 = 28 1 + 4 + 18 = 23 1 + 6 + 12 = 19 1 + 8 + 9 = 18 2 + 2 + 18 = 22 2 + 3 + 12 = 17 2 + 4 + 9 = 15 2 + 6 + 6 = 14 3 + 3 + 8 = 14 3 + 4 + 6 = 13 All sums are unique except 14. So the age sum must have been 14, otherwise Sunder would have guessed the ages from hint 1 only. So we have two possible combination to get sum 14 2 + 6 + 6 = 14 3 + 3 + 8 = 14 3) Ajay has an oldest girl (not two!!). So the ages must be 3, 3 and 8. |