Daughters Age Puzzle Solution

on Saturday, 29 September 2012
Well this puzzles looks very vague the first time you listen to it. But if you understand each and every word of it you will figure out the solution.

Let's start with all the combinations possible as we know that the product of their ages is 72.

Ages                                                                                     Sum

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

After looking at the building number Scientist 1 is not able to figure out what are the ages of the daughters.
So if we look at the sample space shown above we will find that there are two cases. This means that the number on the building was 14 and the Scientist 1 is confused with 3,3,8 and 2,6,6 as options.

Since Scientist 2 says that the older daughter plays piano. This means that the 2,6,6 possibility is gone so the ages of the daughters are 3,3,8.

Everything is mentioned in the puzzles. Just you have to think and try to figure out the solution.

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