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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 & Solution
Correct Answer:
Option
B
Let the numbers be 7x and 11x respectively
Then,
$$\eqalign{ & = \frac{{7x + 7}}{{11x + 7}} = \frac{2}{3} \cr & \Rightarrow 21x + 21 = 22x + 14 \cr & \Rightarrow x = 7 \cr & \therefore {\text{Smaller number}} \cr & = 7 \times 7 \cr & = 49 \cr} $$
Then,
$$\eqalign{ & = \frac{{7x + 7}}{{11x + 7}} = \frac{2}{3} \cr & \Rightarrow 21x + 21 = 22x + 14 \cr & \Rightarrow x = 7 \cr & \therefore {\text{Smaller number}} \cr & = 7 \times 7 \cr & = 49 \cr} $$
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