The sum of three numbers is 264. If the first number be twice the second and third number be be one-third of the first, then the second number is :

Answer: Option C

Let the second number be x
Then, first number = 2x,
And third number = $$\frac{2x}{3}$$
$$\begin{array}{rl}& \therefore 2x+x+\frac{2x}{3}=264\\ & \iff \frac{11x}{3}=264\\ & \iff x=\left(\frac{264\times 3}{11}\right)\\ & \iff x=72\end{array}$$