A census taker knocks on a door. A mother answers.
The census taker says, “ I need to know the number of children you have, and their ages’’.
The woman responds in puzzle-ese. “I have three daughters, the product of their ages is 36 and
the sum of their ages is equal to the house number next door.”
The census taker, who never wastes questions, computes for a while and then asks. “Does
your oldest daughter love dogs?” The mother answers affirmatively. The census taker says,
“Thank You. I now know the ages.”What are the ages of the children?

Question

A census taker knocks on a door. A mother answers.
	The census taker says, “ I need to know the number of children you have, and their ages’’. 
      The woman responds in puzzle-ese. “I have three daughters, the product of their ages is 36 and 
      the sum of their ages is equal to the house number next door.”
	The census taker, who never wastes questions, computes for a while and then asks. “Does 
      your oldest daughter love dogs?” The mother answers affirmatively. The census taker says, 
      “Thank You. I now know the ages.”What are the ages of the children?

anonymous · Answer

help please!

ash2326 · Answer

@rafeds08 is there any other data?
house no. ?

jiteshmeghwal9 · Answer

yes is there given any address of the neighbourer?

anonymous · Answer

this data is insufficient

anonymous · Answer

the data is correct. the clue is : what is the special in number 36?

ash2326 · Answer

I got something :)

unklerhaukus · Answer

*$$36=2^23^2$$

anonymous · Answer

it seems that the eldest is not twin

unklerhaukus · Answer

one daughter could be 1 year old

anonymous · Answer

possible that one daughter is 1 yr old

anonymous · Answer

yes it is possible that daughter is 1 yr old

unklerhaukus · Answer

2x3x6=36

1x6x6=36

4x3x3=36

4x9x1=36

12x3x1=36

ash2326 · Answer

If we write all the factors of 13 and their sum, two set of factors have same sum, but has one oldest daughter. So it should be  2, 2, 9
See the pic

ash2326 · Answer

*factors of 36

unklerhaukus · Answer

@rafeds08, your right 1x6x6 is not a solution because the eldest would be twins

anonymous · Answer

thanks ash2326

ash2326 · Answer

Welcome:D

unklerhaukus · Answer

how did you know it was 2, 2, 9  ?

unklerhaukus · Answer

oh because the censes taker know the house number , even if we dont

unklerhaukus · Answer

but we do know they dont waste questions

ash2326 · Answer

Yes

anonymous · Answer

the question is correct, the answer needs logical reasoning

anonymous · Answer

thus the only concern there is the number 36... what would be something special in number 36?

anonymous · Answer

base on ash2326 answer, the sum of 1,6,6    and  2,2,9    is same but base on the problem the oldest daughter loves dog,thus the oldest daughter in not twins. and the right answer is 9,2,2

ash2326 · Answer

@rafeds08 you understood it well, I must say, it's a nice question

unklerhaukus · Answer

its was a great question

anonymous · Answer

thanks for the sharing your both great