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    Question

    The number of pencils with Tom and Jerry is 11 more than

    with Spike. Also, Jerry and Spike together have 9 more than Tom. If Tom and Spike together have 30 pencils, find the total number of pencils they have together.
    A 25 Correct Answer Incorrect Answer
    B 40 Correct Answer Incorrect Answer
    C 65 Correct Answer Incorrect Answer
    D 75 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let pencils with Tom = x, Jerry = y, Spike = zThen:

    x + y = z + 11 ………(1)

    y + z = x + 9 ………(2)

    x + z = 30 ………(3)

    Add (1), (2), and (3):

    → 2(x + y + z) = x + z + 11 + 9 + 30 = x + z + 50

    → x + z = 30

    → 2(x + y + z) = 30 + 50 = 80

    → x + y + z = 40

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