There are 2 teams-A and B. If 3 people are shifted from Team A to Team B, then Team B has thrice the number of members than Team A. If 2 people are shifted from Team B to Team A, then Team B has double the number of members than Team A. How many members does Team B have originally?

Solution (By Examveda Team)

$$\eqalign{ & \frac{{A - 3}}{{B + 3}} = \frac{1}{3} \cr & \Rightarrow 3A - 9 = B + 3 \cr & \Rightarrow 3A - B = 12\,......\left( 1 \right) \cr & \frac{{A + 2}}{{B - 2}} = \frac{1}{2} \cr & \Rightarrow 2A + 4 = B - 2 \cr & \Rightarrow 2A - B = - 6\,......\left( 2 \right) \cr & {\text{Solving equation}}\left( 1 \right){\text{and}}\left( 2 \right) \cr & A = 18 \cr & B = 42 \cr & {\text{Hence, Team B have 42 members}}{\text{.}} \cr} $$