Question 30
The sides $AB$ and $CD$ of convex quadrilateral $ABCD$ are each divided into three equal parts: $AE=EF=FB$ and $DP=PQ=QC$. The diagonals of quadrilaterals $AEPD$ and $FBCQ$ intersect at $M$ and $N$, respectively. Triangles $AMD$, $EMP$ and $FNQ$ have areas 154,112 and 99, respectively. What is the area of triangle $BCN$?
