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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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