Question 41431: Mr. Jones says that he has 3 daughters, the product of whose s is 72. Furthermore, the sum of their ages is equal to his house number. A mathematician claims that even though he knows the house number, not enough information has been given to determine their ages. Thereupon, Mr. Jones adds that his youngest daughter likes raspberry yogurt. Smilingly, the mathematician announces the ages of the girls. What are the ages of the daughters?
Thak you -this really confuses me
Answer by 303795(602)   (Show Source):
You can put this solution on YOUR website! Possible age combinations with their sum in brackets.
1. 1,1,72 (74)
2. 1.2.36 (39)
3. 1,3,24 (28)
4. 1,4,18 (23)
5. 1,6,12 (19)
6. 1,8,9 (18)
7. 2,2,18 (22)
8. 2,3,12 (17)
9. 2,4,9 (15)
10.2,6,6 (14)
11.3,3,8 (14)
12.3,4,6 (13)
The house number clue shows that there is more than one total with the house number so the house number must be 14.
The raspberry yoghurt clue shows that there is a youngest rather than two younger children the same age.
The children's ages must be 2, 6 and 6years old.
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