If the line 2x + y = k passes through the point which divides the line segment joining the points (1,1) and (2,4) in the ratio 3:2, then k equals

If P (x,y) divides the line segment AB in the ratio 3:2, then x=3(2)+2(1)5,y=3(2)+2(1)5         P(8 / 5,14 / 5)As the line 2x + y = k passes through P2×(8/5)+(14/5)=k⇒k=6