If a/b = c/d = e/f = 3, then 2a^2 + 3c^2 + 4e^22b^2 + 3d^2 + 4f^2 = ?

Answer: Option D

$$\begin{array}{rl}& \frac{a}{b}=\frac{c}{d}=\frac{e}{f}=\frac{3}{1}\\ & \Rightarrow \frac{2\times 9+3\times 9+4\times 9}{2\times 1+3\times 1+4\times 1}\\ & \Rightarrow \frac{18+27+36}{2+3+4}\\ & \Rightarrow \frac{81}{9}\\ & \Rightarrow 9\end{array}$$