How to find the difference between the son's and mother's age if it(ages of son and mother) is reversible for a total of 8 times? There is a quiz question for which I need to write a python code. I don't need help for the code but this is what I need help with.
A son had recently visited his mom and found out that the two digits that form his age (eg :24) when reversed form his mother's age (eg: 42). Later he goes back to his place and finds out that this whole 'age' reversed process occurs 6 times. And if they (mom + son) were lucky it would happen again in future for two more times.
So we have a total of 8 times when this would occur. The actual question is how old is the son at present ? I don't need help with that , I am trying to figure out the age difference which in turn will lead to me the present age and based on that I could write my code.
Observation: If you take any two-digit number and switch the digits, the
difference between the two numbers is a multiple of 9.In particular, the difference is 9 times the difference between the two digits.
But how do I figure out this age difference ?

He is his mother's age and presently he is $66$.
