(A) Analytically determine all possible two digit positive decimal integers n, that satisfy this equation:

       n = p + 4c

where p is the product of the digits of n, while c is the result when the unit’s digit is divided by the tens digit.

(B) For what positive integer bases N< 10 do valid solutions to the above equation exist?

(In reply to non-analytic (spoiler) by Charlie)

Ty Charlie, for your proposed extension to the given problem.

I confirm having incorporated the same in my solution.

Posted by K Sengupta on 2008-08-11 12:53:55