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1. 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

Solution:

Let the numbers be 7x and 11x.

\begin{aligned} According to question, \\ \frac{7 x + 7}{11 x + 7} = \frac{2}{3} \\ O r, 22 x + 14 = 21 x + 21 \\ O r, x = 7 \\ Smaller number = 49 \end{aligned}

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