Multiple choice

Two years ago, the ratio of ages of A and B was 10 : 9. Six years hence, the ratio of their ages will be 14 : 13. Find the present age of B.

  1. 29 years

  2. 38 years

  3. 20 years

  4. 47 years

  5. 11 years
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C Correct answer
Explanation

Let A's age 2 years ago be 10x years and that of B be 9x years. So, 6 years hence, age of A = 10x + 2 + 6 = 10x + 8 years and age of B = 9x + 2 + 6 = 9x + 8 years Now, according to question, (10x + 8)/(9x + 8) = 14/13 After solving this equation, we get x = 2 So, present age of B = 9x + 2 = 9 x 2 + 2 => 20 years

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