Can you solve this Epic question?

A great mathematician claims to solve any problem posed to him.One day he visits a friend of his who challenges him to determine his children's ages using the following hints:

1)No. of children =3

2)Product of their ages=36.

3)Sum of their ages=equal to the friend's house no

After this the mathematician pleads for just one more hint and claims to solve it this time therefore- hint no.4) the colour of eyes of his youngest son is blue upon hearing this he breaks out the correct answer. Can you find it?

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