If 3/4 of a number is 7 more than 1/6 of the number then 5/3 of the number is :

Answer: Option D

Let the number be x
⇒ According to the question,
$$\begin{array}{rl}& \Rightarrow \frac{3x}{4}-\frac{x}{6}=7\\ & \Rightarrow \frac{9x-2x}{12}=7\\ & \Rightarrow 7x=7\times 12\\ & \Rightarrow x=12\end{array}$$
⇒ Then $$\frac{5}{3}$$ of the number will be
$$\begin{array}{rl}& \Rightarrow \frac{x\times 5}{3}\\ & =\frac{12\times 5}{3}\\ & =20\end{array}$$