In a △ABC a point P is taken such that APBP=13 and a point Q is taken on BC such that CQBQ=31. If R is the point of intersection of the lines AQ and CP. The area of △BRC is 1 unit and area of △ABC is ab,a and b is coprime, then a+b is

In a △ABC a point P is taken such that APBP=13 and a point Q is take

1.	In a △ABC a point P is taken such that APBP=13 and a point Q is taken on BC such that CQBQ=31. If R is the point of intersection of the lines AQ and CP. The area of △BRC is 1 unit and area of △ABC is ab,a and b is coprime, then a+b is
Answer» In a $△ A B C$ a point $P$ is taken such that $\frac{A P}{B P} = \frac{1}{3}$ and a point $Q$ is taken on $B C$ such that $\frac{C Q}{B Q} = \frac{3}{1} .$ If $R$ is the point of intersection of the lines $A Q$ and $C P$ . The area of $△ B R C$ is $1$ unit and area of $△ A B C$ is $\frac{a}{b}, a and b$ is coprime, then $a + b$ is