If n + 2/3n + 1/2n + 1/7n = 97 , then the value of n is?

Answer: Option B

$$\begin{array}{rl}& n+\frac{2}{3}n+\frac{1}{2}n+\frac{1}{7}n=97\\ & \Rightarrow \frac{42n+28n+21n+6n}{42}=97\\ & \Rightarrow \frac{97n}{42}=97\\ & \Rightarrow n=42\end{array}$$