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    Question

    The number of cats and dogs in a shelter are in the ratio

    6:5. If the number of cats decreased by 24 and number of dogs increased by 6, their numbers would be equal. Find the original number of dogs in the shelter.
    A 125 Correct Answer Incorrect Answer
    B 173 Correct Answer Incorrect Answer
    C 147 Correct Answer Incorrect Answer
    D 150 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let the number of cats and dogs be '6n' and '5n', respectively.

    So, 6n - 24 = 5n + 6

    Or, 'n' = 30

    Therefore, number of dogs = 30 × 5 = 150

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