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

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