Question 28
Let $x$, $y$ and $z$ be positive integers satisfying the following three equations:
$$xy+x+y=2024,\qquad yz+y+z=2024,\qquad zx+z+x=728.$$
What is the value of $x+y+z$?
$$xy+x+y=2024,\qquad yz+y+z=2024,\qquad zx+z+x=728.$$
What is the value of $x+y+z$?