Problem: Given a triangle ABC, be X the point that divides (A,B) in a way that AX=2XB and Y the point that divides (B,C) in a way that BY=3YC. Prove that the lines CX and AY are concurrent and express the concurrent point P in terms of A, AB, AC.
Commentary: I'm pulling my hair about this problem. I've already proved that CX and AY are concurrent, but I can't see a way to express P in terms of A, AB, AC. If a kind heart could shed some light in this problem, I would be very grateful. Sorry my English.