Question 60
What is the largest positive integer $n$ for which there exists a unique integer $k$ such that
$$
\frac{8}{15}\lt\frac{n}{n+k}\lt\frac{7}{13} ?
$$
$$
\frac{8}{15}\lt\frac{n}{n+k}\lt\frac{7}{13} ?
$$
Math Olympiad Vault · MathNet 2019-part-02 — 184 problems (EN–VI)