### Of the three numbers, the first is twice the second and the second is twice the third. The average of the reciprocal of the numbers is $\frac{7}{72}$ . The numbers are:

**A.** 16, 8, 4

**B.** 20, 10, 5

**C.** 24, 12, 6

**D.** 36, 18, 9

## Show Answer

###
Answer-C

Solution-

__Solution(By Apex Team)__

$\begin{array}{l}\text{Let the number be x.}\\
\text{Then, second number = 2x.}\\
\text{First number = 4x}\\
\therefore\frac{1}{x}+\frac{1}{2x}+\frac{1}{4x}=\frac{7}{72}\times3\\
\Rightarrow\frac{7}{4x}=\frac{7}{24}\\
\Rightarrow4x=24\\
\Rightarrow x=6\end{array}$
So, the number are 24, 12 and 6