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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 51% of the sum of the marks of both of them, then find the marks obtained by them.
    A 250, 240 Correct Answer Incorrect Answer
    B 245, 235 Correct Answer Incorrect Answer
    C 255, 245 Correct Answer Incorrect Answer
    D 235, 225 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 = 0.51 × (x + y) x = 0.51 × (10 + y + y) x = 0.51 × (10 + 2y) x = 5.1 + 1.02y 10 + y = 5.1 + 1.02y 0.02y = 4.9 y = 245 x = 245 + 10 = 255

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