Question 183
Find all the triplets $(x, y, z)$ of positive integers satisfying the following conditions:
$$
x + xy + xyz = 31, \quad x \lt y \lt z.
$$
$$
x + xy + xyz = 31, \quad x \lt y \lt z.
$$
Math Olympiad Vault · MathNet 2019-part-03 — 184 problems (EN–VI)