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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: 2.4000 (10 votes)

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Solution Solution | Comment 24 of 25 |
We shall assume no leading zeroes, where, otherwise,
00 + 0 = 00 could be a solution. 

We shall also assume the equation was not meant to be interpreted as M*A + A = A*M, where A = 0 and M can be any digit.

Given the radix, B, of the two digit number AM, such that the radix is greater than 2, the solution to the two digits A and M are where A = (B - 2) and M = (B - 1). For base 10 (the normal default when no radix is given) the solution would be:
A = (10 - 2) = 8 and M = (10 - 1) = 9.

8910 + 910 = 9810;
EF16 + F16 = FE16;
456 + 56 = 546;
etc.
  Posted by Dej Mar on 2008-02-29 12:54:24
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