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(a+1)/3=(b+2)/4=5/(c+3) diophantine 2019 Romania District VII p1

Source:

September 1, 2024
algebranumber theoryDiophantine equationDiophantine Equations

Problem Statement

Determine the integers a,b,ca, b, c for which a+13=b+24=5c+3\frac{a+1}{3}=\frac{b+2}{4}=\frac{5}{c+3}