The grasshopper, the frog and the mouse had a jumping contest. The grasshopper jumped w inches. The grasshopper jumped x inches farther than the frog and the mouse jumped y inches lesser than the frog. How much farther did the grasshopper jump than the mouse?
The grasshopper jumped w inches.
The frog jumped w - x inches.
The mouse jumped w - y inches.

The grasshopper jumped w - (w - x) = x inches farther than the frog.
The grasshopper jumped w - (w - y) = y inches farther than the mouse.

Therefore, the grasshopper jumped x + y inches farther than the mouse.