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    Question

    In an examination, two students participated, where one

    student scored 15 marks higher than the other. If the higher-scoring student's marks constitute 52% of their combined total marks, determine the individual scores of both students.
    A 175, 160 Correct Answer Incorrect Answer
    B 185, 170 Correct Answer Incorrect Answer
    C 195, 180 Correct Answer Incorrect Answer
    D 135, 120 Correct Answer Incorrect Answer
    E 205, 190 Correct Answer Incorrect Answer

    Solution

    Let total marks obtained by both of them is x and y respectively. x – y = 15 And, x = 0.52 × (x + y) x = 0.52 × (15 + y + y) x = 0.52 × (15 + 2y) x = 7.8 + 1.04y 15 + y = 7.8 + 1.04y 0.04y = 7.2 y = 180 x = 180 + 15 = 195

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