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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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