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      Question

      The ratio of boys to girls in a school is 5:7. If 20 more

      boys and 20 more girls join, the ratio becomes 10:13. Find the original number of girls in the school.
      A 84 Correct Answer Incorrect Answer
      B 95 Correct Answer Incorrect Answer
      C 75 Correct Answer Incorrect Answer
      D 68 Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the original number of boys and girls be ‘5x’ and ‘7x’, respectively.

      ATQ;

      (5x + 20) / (7x + 20) = (10/13)

      Or, 13 × (5x + 20) = 10 × (7x + 20)

      Or, 65x + 260 = 70x + 200

      Or, 5x = 60

      Or, x = 12

      So, the original number of girls in the school = 7 × 12 = 84

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