# A problem by Sherry Sarkar

Level pending

In Triangle $$ABC$$, $$AB$$ = 48 , $$BC$$ = 27 , $$AC$$ = 32. $$D$$ is on $$AC$$ such that $$AD$$ = 20 and $$E$$ is on $$AB$$ such that $$AE$$ = 18. The ratio of the area of triangle $$ADE$$ to the area of quadrilateral $$BEDC$$ can be expressed as $$\frac{a}{b}$$.

What is $$a + b$$?

×