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    Question

    Two students appeared in an exam and one secured 16

    marks more than the other. If marks of student who got more marks is 54% of the sum of the marks of both of them, then find the marks obtained by them.
    A 108, 92 Correct Answer Incorrect Answer
    B 106, 90 Correct Answer Incorrect Answer
    C 116, 100 Correct Answer Incorrect Answer
    D 110, 94 Correct Answer Incorrect Answer
    E None of these Correct Answer Incorrect Answer

    Solution

    Let total marks obtained by both of them is x and y respectively. x – y = 16 And, x = 0.53 × (x + y) x = 0.53 × (16 + y + y) x = 0.53 × (16 + 2y) x = 8.64 + 1.08y 16 + y = 8.64 + 1.08y 0.08y = 7.36 y = 92 x = 92 + 16 = 108

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