If 2a + ba + 4b = 3 , then find the value of a + ba + 2b = ?

Answer: Option C

$$\begin{array}{rl}& \frac{2a+b}{a+4b}=3\left(\text{Given}\right)\\ & \Rightarrow 2a+b=3\left(a+4b\right)\\ & \Rightarrow 2a+b=3a+12b\\ & \Rightarrow -a=11b\\ & \Rightarrow a=-11b\\ & \therefore \frac{a+b}{a+2b}\\ & \Rightarrow \frac{-11b+b}{-11b+2b}\\ & \Rightarrow \frac{-10b}{-9b}\\ & \Rightarrow \frac{10}{9}\end{array}$$