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    Question

    The ratio of the present age of A and B is 3 : 1. Five

    years ago, the ratio of their ages was 5 : 1. The age of A (in years) after eight years will be: 
    A 22 Correct Answer Incorrect Answer
    B 38 Correct Answer Incorrect Answer
    C 30 Correct Answer Incorrect Answer
    D 40 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let: A = 3x, B = x (present ages) 5 years ago: (3x − 5)/(x − 5) = 5/1 → 3x − 5 = 5x − 25 → 20 = 2x ⇒ x = 10 → A = 3x = 30 → A after 8 years = 30 + 8 = 38

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