1)

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


A) 48

B) 54

C) 72

D) 84

E) 95

Answer:

Option C

Explanation:

Let the numbers be $x$. Then, first number $= 2x$ and third number $=\frac{2x}{3}$.
$\therefore 2x+x+\frac{2x}{3}=264$.
$\Leftrightarrow x = \left(\frac{264 \times 3}{11}\right)=72$.