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t=(8a+ 1)/b, b<7, a,b,t pos. integers - OMAPA Paraguay 2005.4

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September 14, 2021
number theory

Problem Statement

In the expression t=8a+1bt=\frac{8a+ 1}{b} where a,b,ta, b, t are positive integers, where b<7b <7. Determine the values of aa andb b that allow to obtain tt under the established conditions.
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