# Guess the age.

There is a person who conducts survey. He visits a house. A lady opens the door. The person asks about the family details. The lady says she has three children. The person asks the ages of the children.

Lady : I won't tell you the individual ages of my three children; but i would tell that the product of their ages is 36.

Person: Madam, there are many combinations possible, I am not able to get the ages.

Lady : I would give another hint. The sum of the ages of my children is equal to the house number of the house on the opposite road.

The person goes to the opposite road, sees the house number and returns.
Person: Sorry Madam, but I still couldn't get the ages.

Lady (Angrily) : I won't tell the ages and you stop disturbing me and my youngest daughter sleeping upstairs.

Person: Now I got the ages.

Q: What are the individual ages?π
[Assume that the person is good in Maths π]

Assume ages are integers, twins or triplets are possible.

## Replies

• Differential
The youngest is 1 and other 2 are 6.
Am I right ?
• Raviteja.g
yes, differential exactly right :clap:

• Raviteja.g
another 9,2,2 is also possible
which is the correct answer Mayur!
• komputergeek
Ages can be :

1,1,36 sum=38
1,2,18 sum=21
1,3,12 sum=16
1,4,9 sum=14
1,6,6 sum=13
2,2,9 sum=13
2,3,6 sum=11
3,3,4 sum=10

As the person needs more clues the sum is 13 ( 1,6,6 or 2,2,9) i.e not unique

The statement "my youngest daughter sleeping upstairs" indicates that 'youngest' is only 1 person so answer is 1,6,6 it cant be 2,2,9
• Mayur Pathak
komputergeek
As the person needs more clues the sum is 13 ( 1,6,6 or 2,2,9) i.e not unique

The statement "my youngest daughter sleeping upstairs" indicates that 'youngest' is only 1 person so answer is 1,6,6 it cant be 2,2,9
Hmmm... π
• MaRo
I guess it's 1,4,9..assuming the elder two are at school and the sum (14) is unique π
• pooja sehgal
its 1,6,6
product is=36
when peson went to opposite house, got confused in 2 cases i.e(1,6,6)&(2,2,9).
lady said youngest daughter that means youngest is not twince so ans is(1,6,6).
m i right????????????
• Mayur Pathak
MaRo
I guess it's 1,4,9..assuming the elder two are at school and the sum (14) is unique π
No Maro... I think you are working too much these days. Whats up with you man?
• durga ch
assumptions:
1.opp house no is a whole number unlike x/c/201 etc... π(no reason behind this assumption)
2.youngest daughter sleeping at home!π other two are not at home during the day time when the inspection is being done , so can go out without their mom...

xyz=36,

case1: if the opp house no =odd
then x+y+z=odd
factors of 36 satisfying are:
2,6,3
6,6,1
9,2,2

since twp are eligible for going out and only 1 youngest around
i came to conclusion its 6,6,1

case2π²pp house no even
x+y+z=even
4,3,3
12,3,1
9,4,1

since only 1 youngest 4,3,3 is discarded
and a child of 3 years may not be out by itself
hence might be 9,4,1 as well

so finally its 6,6,1
• Mayur Pathak
Good explanation Durga. But I don't see the logic behind the assumptions.
• durga ch
durga
assumptions:
1.opp house no is a whole number unlike x/c/201 etc... π(no reason behind this assumption)
2.youngest daughter sleeping at home!π other two are not at home during the day time when the inspection is being done , so can go out without their mom...

Its just a kind of hypothesis...

firstly , since she said that her kids age was sum as the house opposite...i assumed it should be a whole number

and second one i assumed coz...
the man came for inspection and he is on work... so it might be after 9 am and since a child is sleeping means its still not old enough to go out

this is all what i could thinkπ
• Differential
I don't think a need of this much complex logic here ! I mean type of house no. doesn't come anywhere here, does it ? π
• durga ch
hmmm

π

may be... but it did help out in isolating the possibilities..

any wz thats all I could think lets see when Mayur declares the answer
• Raviteja.g
what is the final answer ?
• Mayur Pathak
6yrs, 6yrs, 1yr
• Differential
Hurrrrrrrrrrrrrrey ! I'm right ! π
Thank God I could solve atleast one puzzle here !
• durga ch
i say the same too !! π

finally one solution( with a complex round the issue explaination) on CE!!
• Anil Jain
durga
i say the same too !! π

finally one solution( with a complex round the issue explaination) on CE!!

Waiting for some more brain teasers...

π

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