In this alphametic equation, each of the capital letters in bold denotes a different base ten digit from 0 to 9, and x is any positive integer ≤ 16. None of R and T can be zero.

REKNIT        9*x
---------- = -----------
TINKER      9*x + 1

Determine the minimum value of REKNIT and maximum value of TINKER.

(In reply to computer solution by Daniel)

While I can concur with your REKNIT  TINKER values, and the Max and Min, I cannot accept your claim to the value for x. 
Firstly no REKNIT/TINKER  ratio has a value of .999999..  which is the ratio if x=10989.
Secondly the problem text does say that x≤16.

Posted by brianjn on 2009-10-05 03:59:10