Two numbers are in the ratio 7 : 11. If 7 is added to each of the numbers, the ratio becomes 2 : 3. The smaller number is -

Answer: Option B

Let the numbers be 7x and 11x respectively
Then,
$$\begin{array}{rl}& =\frac{7x+7}{11x+7}=\frac{2}{3}\\ & \Rightarrow 21x+21=22x+14\\ & \Rightarrow x=7\\ & \therefore \text{Smaller number}\\ & =7\times 7\\ & =49\end{array}$$