Question 97
Find all quadruples $(x, y, z, t)$ of positive integers that satisfy the system of equations
$$
\begin{cases} xyz = t! \\ (x+1)(y+1)(z+1) = (t+1)! \end{cases}
$$
$$
\begin{cases} xyz = t! \\ (x+1)(y+1)(z+1) = (t+1)! \end{cases}
$$
MathNet 2018-part-01 — 181 problems (EN–VI) Question 97
Math Olympiad Vault · MathNet 2018-part-01 — 181 problems (EN–VI)