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      Question

      In a park, the ratio of adults to children is 7:5. If the

      number of adults was decreased by 21 and children increased by 14, then their numbers become equal. Find the original number of children in the park.
      A 125 Correct Answer Incorrect Answer
      B 173 Correct Answer Incorrect Answer
      C 147 Correct Answer Incorrect Answer
      D 100 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ,

      Let the number of adults and children be '7n' and '5n', respectively.

      So, 7n - 21 = 5n + 14

      Or, 'n' = 17.5

      Therefore, number of children = 17.5 × 5 = 87.5

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