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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 120, 110 Correct Answer Incorrect Answer
      B 140, 130 Correct Answer Incorrect Answer
      C 150, 140 Correct Answer Incorrect Answer
      D 130, 120 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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