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    Question

    The number of marbles with ‘Ankit’ and ‘Bhavya’

    together is 25 more than that with ‘Chetan’, while the number of marbles with ‘Bhavya’ and ‘Chetan’ together is 15 more than that with ‘Ankit’. If ‘Ankit’ and ‘Chetan’ together have a total of 60 marbles, then find the number of marbles with ‘Ankit’, ‘Bhavya’, and ‘Chetan’, together.
    A 80 Correct Answer Incorrect Answer
    B 36 Correct Answer Incorrect Answer
    C 75 Correct Answer Incorrect Answer
    D 65 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let the number of marbles with ‘Ankit’, ‘Bhavya’, and ‘Chetan’ be ‘x’, ‘y’, and ‘z’, respectively. Therefore, x+y=z+25 ………(1) y+z=x+15 ………(2) x+z=60 ………(3) Add equations (1), (2), and (3): 2(x+y+z)=x+z+100 Or, 2(x+y+z)=60+100 Or, x+y+z=160/2=80 Thus, the total number of marbles with Ankit, Bhavya, and Chetan together is 80.

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