Question

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. $84$

Answer 1

The correct option is C $72$

Let the second number be $x$.

Since,

The first number $=2x$

And the third number $=\frac{2x}{3}$

Sum $=264$

$2x+x+\frac{2x}{3}=264$

$3x+\frac{2x}{3}=264$

$\frac{11x}{3}=264$

$11x=264\times 3$

$x=72$

Hence, the second number is $72$.