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    Question

    Two students appeared in an exam and one secured 10

    marks more than the other. If marks of student who got more marks is 52% of the sum of the marks of both of them, then find the marks obtained by them.
    A 140, 130 Correct Answer Incorrect Answer
    B 130, 120 Correct Answer Incorrect Answer
    C 180, 170 Correct Answer Incorrect Answer
    D 150, 140 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 = 10 And, x = 0.52 × (x + y) x = 0.52 × (10 + y + y) x = 0.52 × (10 + 2y) x = 5.2 + 1.04y 10 + y = 5.2 + 1.04y 0.04y = 4.8 y = 120 x = 120 + 10 = 130

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