Subject: General Aptitude · Chapter: Problems on Numbers · Exam: 2004 · Marks: · Difficulty:
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
Answer (as printed): C
Explanation
Let the second number be $x$. Then, first number $=2 x$ and third number $=\frac{2 x}{3}$. $$\begin{aligned} \therefore \quad 2 x+x+\frac{2 x}{3}=264 & \Leftrightarrow \frac{11 x}{3}=264 \\ & \Leftrightarrow x=\left(\frac{264 \times 3}{11}\right)=72 . \end{aligned}$$
Explanation as extracted from the printed page; notation may be imperfect.