Solution to the 2 Mathematicians

The first clue was the product of their ages is 72.
So take all the possibilities.
72 ,1,1 = not possible coz mathematicians met after 27 years.
36, 2,1= not possible
18,2,2
9,4,2
4,6,3
6,6,2
12,3,2
12,6,1
24,3,1
3,3,8

Now the second clue is tat the sum of their ages is a number tat the other guy can clearly see.. But still the other guy cant guess the answer.
18,2,2 =22
9,4,2 =15
4,6,3 =13
6,6,2 = 14
12,3,2 =17
12,6,1 =19
24,3,1 = 28
3,3,8 = 14
So if the guy couldnt guess the answer tat means tat the total must hav been 14. thn u hav 2 possible ways u can factorise 72 wit the sum 14..
so the answer must be 6,6,2 or 8,3,3
The third clue says tat the youngest daughter just started walking.
So.. 8,3,3 s nt possible.. here u hav 2 younger daughters of the same age.

Therefore 6,6,2 is the answer :)