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      Question

      Two students appeared in an exam and one secured 30

      marks more than the other. If marks of the student who got more marks is 65% of the sum of the marks of both of them, then find the marks obtained by them.
      A 20 and 40 Correct Answer Incorrect Answer
      B 35 and 44 Correct Answer Incorrect Answer
      C 65 and 45 Correct Answer Incorrect Answer
      D 35 and 65 Correct Answer Incorrect Answer

      Solution

      ATQ, Let total marks obtained by both of them be x and y respectively. x − y = 30 And, x = 0.65×(x+y) x = 0.65×(30+y+y) x = 0.65×(30+2y) x = 19.5+1.30y 30+y = 19.5+1.30y 0.30y = 10.5 y = 35 x = 35+30 = 65

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