Three Daughters
" A chatty reporter interviews a famous villain:
- How many children do you have ?.
- Three daughters.
- How old are they ?.
- The product of their ages is 36 ...
- M and missing data.
- ... And the sum is equal to the number of my house.
- M and missing data.
- ... And the sum is equal to the number of my house.
The reporter was thinking and said:
- M and are still missing data.
- M and are still missing data.
- You're right, then I will tell you that most plays the piano.
¿ What are the ages of the daughters of the villain? ".
SOLUTION:
With the track " the product of their ages is 36 " have eight possible combinations:
1) 1x1x36
2) 1x2x18
3) 1x3x12
4) 1x4x9
5) 1x6x6
6) 2x2x9
7) 2x3x6
8) 3x3x4
The sum of the age is for each of these combinations numer I is:
1) 1 + 1 + 36 = 38
2) 1 + 2 + 18 = 21
3) 1 + 3 + 12 = 16
4) 1 + 4 + 9 = 14
5) 1 + 6 + 6 = 13
6) 2 + 2 + 9 = 13
7) 2 + 3 + 6 = 11
8) 3 + 3 + 4 = 10
With the track " ... and the sum it is equal to the number of my house " reporter should be able to determine what the age of the daughters unless the house number is 13, in which case we would have two combinations of possible ages ( combinations 5 and 6). As the reporter said he still missing data, we infer that this is the case in question.
With the track "... the greatest plays the piano " we conclude that one of the daughters is greater than the other two, then we can rule out the combination 5, being then ages daughters 2, 2 and 9 (ie, the combination 6 ).
