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      Question

      In a hostel, the number of senior and junior students are

      in the ratio 4:3. If the number of seniors was reduced by 32 and the juniors increased by 16, then both groups would have the same number of students. What was the original number of junior students?
      A 125 Correct Answer Incorrect Answer
      B 173 Correct Answer Incorrect Answer
      C 144 Correct Answer Incorrect Answer
      D 100 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of senior and junior students be '4n' and '3n', respectively.

      So, 4n - 32 = 3n + 16

      Or, 'n' = 48

      Therefore, number of junior students = 48 Ă— 3 = 144

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