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If a,b>1 are integers satisfying 11(a-1) = 13(b-1), find the minimum value of a+b.

 Jun 16, 2020
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The equation implies that (a - 1) is a multiple of 13 and (b - 1) is a multiple of 11. 

 

The smallest possible a + b occurs when a - 1 = 13 and b - 1 = 11, which means min(a + b) = 25.

 Jun 17, 2020

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