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Mixing Digits (Posted on 2004-12-29) Difficulty: 1 of 5
If this sum is correct, what digits do A and M represent? MA + A = AM

See The Solution Submitted by Jim    
Rating: 2.1111 (9 votes)

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Solution Puzzle Solution With Explanation | Comment 21 of 25 |
(In reply to answer to the problem by K Sengupta)

MA + A = AM
Or, 10M + 2A = 10A + M
Or, 9M = 8A
Or, M/8 = A/9 (=p, say)
Or, (M, A) = (8p, 9p). if p>=2, then each of M and A would exceed 10 and thus is a contradiction>

Accordingly, p= 1 ;and, consequently:
(M, A) = (8, 9) and the required addition when completed is:

89 + 9 = 98

Edited on April 17, 2007, 3:01 pm
  Posted by K Sengupta on 2007-04-17 12:28:06

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