In an equilateral triangle P Q R, let the vertex P be at (3,5) and the side Q R be along the line x+y=4. If the orthocentre of the triangle PQR is…

In an equilateral triangle $\displaystyle P Q R$, let the vertex $\displaystyle P$ be at $\displaystyle (3,5)$ and the side $\displaystyle Q R$ be along the line $\displaystyle x+y=4$. If the orthocentre of the triangle PQR is $\displaystyle (\alpha, \beta)$, then $\displaystyle 9(\alpha+\beta)$ is equal to: