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      Question

      Two students appeared in an exam and one secured 18

      marks more than the other. If marks of the student who got more marks is 58% of the sum of the marks of both of them, then find the marks obtained by them.
      A 20.25 and 40.44 Correct Answer Incorrect Answer
      B 47.25 and 65.25 Correct Answer Incorrect Answer
      C 65.22 and 45.33 Correct Answer Incorrect Answer
      D 35.33 and 65.11 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      ATQ, Let total marks obtained by both of them be x and y respectively. x − y = 18 And, x = 0.58×(x+y) x = 0.58×(18+y+y) x = 0.58×(18+2y) x =10.44+1.16y 18+y = 10.44+1.16y 0.16y = 7.56 y = 47.25 x = 47.25+18 = 65.25

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