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    Question

    Twelve years ago, the ratio of

    the ages of Amit and Bheema was 4:5. Currently, the average age of Bheema and Chinu is 33 years, and the ratio of the present ages of Amit and Chinu is 3:2. What is the ratio of the present ages of Bheema and Chinu?
    A 7:9 Correct Answer Incorrect Answer
    B 3:4 Correct Answer Incorrect Answer
    C 5:8 Correct Answer Incorrect Answer
    D 7:4 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ, Let age of Amit and Bheema, 12 years ago was 4a years and 5a years respectively. Present age of Chinu = 33 × 2 – (5a + 12) = (54 – 5a) years ATQ; (54 – 5a)/(4a + 12) = 2/3 Or, 162 – 15a = 8a + 24 Or, 23a = 138 Or, a = 6 So, present age of Bheema = 5 × 6 + 12 = 42 years Present age of Chinu = 54 – 5 × 6 = 24 years Desired ratio = 42:24 = 7:4

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