If $$n + \frac{2}{3}n + \frac{1}{2}n + \frac{1}{7}n = 97{\text{,}}$$      then the value of n is?

Solution (By Examveda Team)

$$\eqalign{ & {\text{ }}n + \frac{2}{3}n + \frac{1}{2}n + \frac{1}{7}n = 97 \cr & \Rightarrow \frac{{42n + 28n + 21n + 6n}}{{42}} = 97 \cr & \Rightarrow \frac{{97n}}{{42}} = 97 \cr & \Rightarrow n = 42 \cr} $$