Originally Posted by http://neerajsingh.bizhat
Well the ages of the daughters are 8 years, 3 years and 3 years

My approach:

1- First factor 72 in three parts.

2- Now we need to consider that one where the sum is something that is on the building.

3- As the second mathmatician got confused, that means there are two factors whose sum equal the same. They are 8*3*3 and 2*6*6. Both equal to 14.

4- Now he needed one more hint to chose one of them. So when the first mathmatician about her Eldest daughter, that means it can be only 8*3*3, because in other case, there is a draw.

Hnce the answer. Thanks for posting the puzzle dear, what a nice way to start your posting in a forum.

Wish you a very wonderful time here among us Bizhatians.