In this alphametic equation, each of the small letters in bold denotes a different base b digit from 0 to b-1. Neither t nor n can be zero.

(ten)*(ten) - ten = ninety

Determine the minimum value of b, for which there exists at least one solution to the above equation.

Smallest base is 11, with 'ten' = '674' (807 in decimal) and 'ninety' = '404761' (650,442 in decimal) as the only solution for that base.

The code used to solve this is very messy and best "left to the imagination."

Posted by Jim Keneipp on 2009-10-25 13:27:13