Question

    If the ratio of the ages of Karan and Saroj is 5 : 7. 8 years ago, the ratio of their ages was 2 : 3. Find the present age of Saroj?

    A 30 years Correct Answer Incorrect Answer
    B 60 years Correct Answer Incorrect Answer
    C 56 years Correct Answer Incorrect Answer
    D 40 years Correct Answer Incorrect Answer

    Solution

    Let the present age of Karan be 5x and that of Saroj be 7x. As per the question, (5x-8)/(7x-8) = 2/3 ⇒ 3(5x-8) = 2 (7x-8) ⇒ 15 x - 24 = 14x - 16 ⇒ 15x - 14x = 24 - 16 Solving for x, we get x = 8. ∴ Present age of Saroj is 8 × 7 = 56 years.

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