A problem by piku nandu

Level pending

POINTS X,Y ARE TAKEN ON THE SIDES CA,AB OF TRIANGLE ABC.IF BX,CY MEET AT P AND (AX/XC)=(BY/YA)=1/2,IF THE RATIO (BP/PX) CAN BE EXPRESSED AS m/n ,WHERE m AND n ARE COPRIME TO EACH OTHER ,THEN WHAT IS THE VALUE OF (m+n)?

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