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    Question

    In a backyard, there are some dogs and some hens, only.

    If the total number of heads counted is 30 and total number of feet counted is 86, then find the number of dogs in the backyard.
    A 11 Correct Answer Incorrect Answer
    B 13 Correct Answer Incorrect Answer
    C 15 Correct Answer Incorrect Answer
    D 17 Correct Answer Incorrect Answer

    Solution

    Let number of dogs in the backyard = β€˜x’ And, total number of hens in the backyard = β€˜y’ So,
    x + y = 30 ---- (1) And,
    4x + 2y = 86 So,
    2x + y = 43 ---- (2) On subtracting Equation (1) from Equation (2), we get x = 13 So, number of dogs in the backyard = 13

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