If AAA_4 can be expressed as 33_b, where A is a digit in base 4 and b is a base greater than 5, what is the largest possible sum A+b?
16A + 4A + A = 3b + 3
If A = 1, b = 6.
If A = 2, b = 13.
If A = 3, b = 20
3 + 20 = 23
=^._.^=