Problem: Given a triangleABC, beXthe point that divides(A,B)in a way thatandAX=2XBYthe point that divides(B,C)in a way that. Prove that the linesBY=3YCCXandAYare concurrent and express the concurrent pointPin terms ofA,,AB.AC

Answer:P=A+2/9+2AB/3AC

Commentary: I'm pulling my hair about this problem. I've already proved thatCXandAYare concurrent, but I can't see a way to expressPin terms ofA,,AB. If a kind heart could shed some light in this problem, I would be very grateful. Sorry my English.AC