# Integers...

Algebra Level 3

If $$x,y,z$$ are three consecutive positive integers such that $$\frac { x }{ y } +\frac { y }{ z } +\frac { z }{ x } +\frac { y }{ x } +\frac { x }{ z } +\frac { z }{ y }$$ is an integer, What is the value of $$x+y+z$$ ?

×