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      Question

      Two students appeared in an exam and one secured 12

      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 80, 68 Correct Answer Incorrect Answer
      B 70, 58 Correct Answer Incorrect Answer
      C 72, 60 Correct Answer Incorrect Answer
      D 81, 69 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 = 12 And, x = 0.54 × (x + y) x = 0.54 × (12 + y + y) x = 0.54 × (12 + 2y) x = 6.48 + 1.08y 12 + y = 6.48 + 1.08y 0.08y = 5.52 y = 69 x = 69 + 12 = 81

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