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 re: computer exploration--I'm only getting two by Steve Herman)

My bad.

The word "teenager" was erroneously introduced by my humble self, translating from Russian.

Please solve it, keeping in mind that:

1.A and B are brothers.

2. All 2-digit numbers are allowed (generation gap>17)

3. There is possibility of more than one solution

4. Programs are permitted, but not really necessary.

I'm sorry - still my error was detected.

Posted by Ady TZIDON on 2011-11-20 18:44:38