Teenager A: I found an interesting relation between my age and the age of my father. Multiplying my age by the age of my father I get the same result if we use the correct ages or if both of us reverse the ages' digits prior to the multiplication.
Same happens if I do it with my grandfather's or even with my aged grand-grand father's ages.
B, A's brother:
That applies to my age as well.
C, a friend: My age, too. But no grand-grandfather...
All the ages (A,B,C) are distinct.
What are they?
(In reply to possible solution
I admire both your imagination and style.
However 2 elements in your story are slightly incoherent:
a) A & B ARE STEPBROTHERS, NOT BROTHERS
b}Why should A know his father's age?
I've revised the text- and if ever it is published, I will be happy to read the sequel to your "Brothers Karamazov" ,
If you wish, I will Email it to you for proof-solving.