Question 154
Let $A$ and $B$ be two different hospitals that treat exactly the same number of patients during a year. Each patient suffers from one of two diseases, $X$ or $Y$. Hospital $A$ cures a greater percentage of its patients than hospital $B$. Is it possible that hospital $B$ cures both a greater percentage of $X$-patients than $A$, and a greater percentage of $Y$-patients than $A$?