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Minimum Sum Muse (Posted on 2013-10-16) Difficulty: 3 of 5
Given that:
A + 13*B is divisible by 11 and:
A + 11*B is divisible by 13
whenever, each of A and B is a positive integer.

Determine the minimum value of A+B.

No Solution Yet Submitted by K Sengupta    
Rating: 2.0000 (1 votes)

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re: A better answer | Comment 3 of 4 |
(In reply to A better answer by Tristan)

Correct. I should for completeness also have tried:

(a+13b) = 11m, (a+11b) = 13n, 0<b<a, (a+b)<78, which supplies:

{a = 23,   b = 5,   m = 8,   n = 6} with a+b=28 as a minimum.

  Posted by broll on 2013-10-17 03:30:45
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