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Find all fractions which can be written simultan(7k-5)/(5k-3) and (6l-1)/(4l-3)

Source: CRMO 2015 region 1 p3

September 30, 2018

number theoryIntegerFractions

Problem Statement

Find all fractions which can be written simultaneously in the forms

\frac{7k- 5}{5k - 3}

and

\frac{6l - 1}{4l - 3}

, for some integers

k, l