Question 25
In the following diagram, $ABC$ is a triangle. Points $E,D$ and $F$ lie on the side $BC$ and divide the side into four equal parts. $M$ is the midpoint of $AB$ and $CM$ intersects the line segments $AE$, $AD$ and $AF$ into the ratio $x:y:z:u$ where $x\ge y\ge z\ge u$ and $x,y,z$ and $u$ are integers. Find the least possible value of $x+y+z+u$.
