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MathNet 2019-part-02 — 184 problems (EN–VI) Question 60

Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)

Question 60

What is the largest positive integer $n$ for which there exists a unique integer $k$ such that
$$
\frac{8}{15}\lt\frac{n}{n+k}\lt\frac{7}{13} ?
$$