Solutions - Junior Division
If $x$ is a real number, $[x]$ denotes the largest integer less than or equal to $x$; for example, $[\pi]=3$. Find all positive real numbers $x,y$ satisfying the equation $$[x]\,[y]=x+y\ .$$
Solutions - Junior Division
If $x$ is a real number, $[x]$ denotes the largest integer less than or equal to $x$; for example, $[\pi]=3$. Find all positive real numbers $x,y$ satisfying the equation $$[x]\,[y]=x+y\ .$$