(In reply to

Problem Solution : Method II by K Sengupta)

Rewriting the equation as:

AM - MA = A, we obtain:

9(A-M) = A.....(*)

Clearly, A and M cannot be equal as these must denote separate digits.

If A- M >=2, the rhs in (*) contain more than one digit. Contradiction.

If A- M <= -1, then rhs of (*) is negative, which is a contradiction.

Accordingly, A-M =1, giving A =9, so that M =8

Consequently, M and A respectively represent the digits 8 and 9.

*Edited on ***August 24, 2007, 6:22 am**