If $(a, b)$ is the centroid of the triangle formed by the lines $4 x^2-17 x y+4 y^2=0$ and $x+y-5=0$ and $c$…
If $(a, b)$ is the centroid of the triangle formed by the lines $4 x^2-17 x y+4 y^2=0$ and $x+y-5=0$ and $c$ is the numerical value of the area of the triangle, then $a+b+c=$