Question

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 ______.

Options

• 39

• 49

• 66

• 77

Answer 1

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 49.

Explanation:

Let the numbers be 7k and 11k. Then `(7k + 7)/(11k + 7) = 2/3`, which gives k = 7; the smaller number is 7k = 49.