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    Question

    The current age ratio of Nilam to Raman is 3:1, and the

    current age ratio of Fatima to Nilam is 5:2. If the combined present ages of Nilam, Raman, and Fatima add up to 138 years, what is Raman's current age?
    A 12 yrs Correct Answer Incorrect Answer
    B 8 yrs Correct Answer Incorrect Answer
    C 10 yrs Correct Answer Incorrect Answer
    D 14 yrs Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let present ages of Nilam and Raman be 3x years and x years respectively.
    So, present age of Fatima = 15x/2 years
    The sum of present ages of Nilam, Raman and Fatima is 138 years.
    => 3x + x + 15x/2 = 138
    => 8x + 15x = 276
    => x = 12
    So, Raman's present age = 12 years

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