*Problem #88*

In triangle *ABC*, points *D*, *E*,and *F* lie on
sides *BC*, *AC*, and *AB* respectively. Lines *AD*,
*BE*, and *CF* all meet at the point *X*. Given that the
areas of triangles *CXE*, *AXE*, and *AXF* are
respectively 35, 45, and 60 square units, find the areas of triangles
*BXF*, *BXD*, and *CXD*.