Question 118
Find all triples $(a, b, c)$ of natural numbers such that
$$
\frac{a+b}{c}, \frac{b+c}{a}, \frac{c+a}{b}
$$
are also natural numbers.
$$
\frac{a+b}{c}, \frac{b+c}{a}, \frac{c+a}{b}
$$
are also natural numbers.
MathNet 2015-part-06 — 191 problems (EN–VI) Question 118
Math Olympiad Vault · MathNet 2015-part-06 — 191 problems (EN–VI)