Forgot password? New user? Sign up

Existing user? Log in

Consider the following system of equation over positive integers $x,y,z$.

$\large \begin{cases} xy + xz = 357 \\xy + yz = 37 \end{cases}$

Let $N$ be the number of solution triplets $(x,y,z)$ and $M$ the maximum value of $xyz$.

Find $N + M$.

Inspiration.

Problem Loading...

Note Loading...

Set Loading...