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

A. 39

B. 49

C. 66

D. 77

Answer: Option B

Solution(By Examveda Team)

Let the numbers be 7x and 11x.
$$\eqalign{ & {\text{According to question}}, \cr & \frac{{ {7x + 7} }}{{ {11x + 7} }} = \frac{2}{3} \cr & Or,\,22x + 14 = 21x + 21 \cr & Or,\,x = 7 \cr & {\text{Smaller}}\,{\text{number}} = 49 \cr} $$