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      Question

      A classroom has a ratio of male to female students as

      2:3. If 4 male and 6 female students join, the ratio of female to male students becomes 5:3. Find the original number of female students.
      A 6 Correct Answer Incorrect Answer
      B 2 Correct Answer Incorrect Answer
      C 8 Correct Answer Incorrect Answer
      D Can't be determine Correct Answer Incorrect Answer
      E none of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let the initial number of male students be 2x and female students 3x. After adding, male students = 2x+4, female students = 3x+6. New ratio (female to male):  (3x+6/2x+4) = 5/3 cross - multiplying :- Therefore, this negative value means the scenario is impossible with positive student counts.

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