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Maths Puzzle
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A man had three daughters. Another man asked him the ages of his daughter. He told that the product of their ages is 36.
Second man was confused and asked for another clue. First man told him that the sum of their ages is equal to his house number.
Second man did some calculations and was still confused. He asked for another clue. First man told him that his youngest daughter had blue eyes. On hearing this, second man immediately gave the correct Answer.
Question : What are the ages of his daughter ?
Read Solution (Total 5)
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- ANS: 6 6 1
when he told that their product as 36, he will notedown all possible cases and asks another clue,
36 1 1
12 3 1
6 6 1
9 4 1
9 2 2
6 3 2
second clue was their sum is equal to house number.we dont know the house number but that person only knows so he will add all his different cases and match with house number
36 1 1=38
12 3 1=16
6 6 1=13
9 4 1=14
9 2 2=13
6 3 2=11
now he saw that two sets of answer contains the house number [ie.,13] so he asked next clue
if, the house number was not 13 then he didn't asked next clue.
according to final clue, that man has a youngest daughter so, the correct pair is 6 6 1 - 12 years agoHelpfull: Yes(5) No(0)
- 6,6,1 are ages of his daughters.
- 12 years agoHelpfull: Yes(3) No(1)
- His house number is 13.
There were two options with available information.
6,6,1
and
9,2,2
when First man told him that his youngest daughter had blue eyes. On hearing this, second man immediately gave the correct Answer.
In second case, younger one are twins.
so there is no youngest one.
In first case of 6,6,1
the daughter aged 1 , is youngest one. - 12 years agoHelpfull: Yes(2) No(2)
- 2,3 and 6.
36=2*2*3*3
Probable ages are 2,3,6 or 2,2,9 or 3,3,4. In last two cases, two younger daughters have to be twins. As the man said that his youngest daughter has blue eyes, it can be presumed that the youngest duaghter is not one of the twins. Hence last possibilities can easily be eliminated. - 12 years agoHelpfull: Yes(2) No(4)
- 6 6 1 is the answer
- 9 years agoHelpfull: Yes(0) No(0)
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