MathNet 2020 — Math Olympiad Vault — Part 06 Question 47

Let $a$, $b$, $c$ be the sides of a triangle. How many numbers (maximum) out of $\frac{a+b}{a+b-c}$, $\frac{b+c}{b+c-a}$ and $\frac{c+a}{c+a-b}$ can be greater than $2$?