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MathNet 2018-part-07 — 177 problems (EN–VI) Question 59

Math Olympiad Vault · MathNet 2018-part-07 — 177 problems (EN–VI)

Question 59

Let $a, b, c, n$ be positive real numbers such that $\frac{a+b}{a}=3$, $\frac{b+c}{b}=4$, and $\frac{c+a}{c}=n$. Find $n$.