WORD PROBLEMS on Statistics 5 for Class 9 and 10

Question for practice 

The following questions are more helpful for class tenth students for all boards.


Questions 5. The average weight of A, B, C is 45 kg. If the average weight of A and B be 40 kg and that of B and C be 43 kg, find the weight of B.


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Comments

  1. A+B+C/3=45
    A+B+C=135-----eq.1

    A+B/2=40
    A+B=80-----eq.2

    subs. value of (A+B) in eq.1

    80+C=135
    C=55----eq.3

    B+C/2=43
    B+C=86----eq.4

    subs. value of C in eq.4
    B+55=86
    B=86-55
    B=31

    Therfore the weight of B is 31

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  3. (A+B+C)/3=45
    A+B+C=135-----[1]
    (A+B)/2=40
    A+B=80-----[2]
    subtracting [2] from [1]
    80+C=135
    C=55----[3]
    (B+C)/2=43
    B+C=86----[4]
    Putting C= 55 in eq.[4]
    B+55=86
    B = 31 kg

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  4. A+B+C/3=45
    THEREFORE, A+B+C=135(1)
    A+B/2=40
    THEN,A+B=80(2)
    SUBTRACTING (2) FROM (1)
    WE GET C=55
    B+C/2=43
    B+C=86(3)
    PUTTING VALUE OF C IN(3)
    WE GET B=31
    THEREFORE,WEIGHT OF B=31 KG

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