Question

    The number of marbles with Amit and Rahul is 14 more than

    with Kabir. Rahul and Kabir together have 4 more marbles than Amit. If Amit and Kabir together have 36 marbles, how many marbles are there in total?
    A 25 Correct Answer Incorrect Answer
    B 45 Correct Answer Incorrect Answer
    C 65 Correct Answer Incorrect Answer
    D 75 Correct Answer Incorrect Answer

    Solution

    ATQ,

    Let marbles with Amit = x, Rahul = y, Kabir = zThen:

    x + y = z + 14 ………(1)

    y + z = x + 4 ………(2)

    x + z = 36 ………(3)

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

    → 2(x + y + z) = x + z + 14 + 4 + 36 = x + z + 54

    → x + z = 36

    → 2(x + y + z) = 36 + 54 = 90

    → x + y + z = 45

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