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    The average weight of Mohan, Mohammad and Ashish is 46 kg. If the average weight of Mohan and Mohammad be 39 kg and that of Mohammad and Ashish be 47
    Question

    The average weight of Mohan, Mohammad and Ashish is 46 kg. If the average weight of Mohan and Mohammad be 39 kg and that of Mohammad and Ashish be 47 kg, then the weight of Mohammad (in kg) is:

    A.

    44

    B.

    49

    C.

    54

    D.

    34

    Correct option is D

    Given:

    Average of Mohan(M) + Mohammad(Mh) + Ashish(A) = 46 kg

    Average of Mohan(M) + Mohammad(Mh) = 39 kg

    Average of Mohammad(M) + Ashish(Mh) = 47 kg

    Solution:

    M + Mh + A = 3 × 46 = 138 kg .........(1)

    M + Mh = 2 × 39 = 78 kg .........(2)

    Mh + A = 2 × 47 = 94 kg ..........(3)

    Subtract the second equation from the first:

    (M + Mh + A) - (M + Mh) = 138 - 78

    A = 60 kg

    Substitute, A = 60 into the third equation:

    Mh + 60 = 94

    Mh = 94 - 60 = 34 kg

    Thus, the weight of Mohammad is 34 kg.

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