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Two Students Appeared at an Examination. One of Them Secured 9 Marks More than the Other and His Marks Was 56% of the Sum of Their Marks. the Marks Obtained by Them Are -

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Question

Two students appeared at an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are

Options

  • 39, 30

  • 41, 32

  • 42, 33

  • 43, 34

MCQ

Solution

42, 33

Explanation :
Let their marks be (x + 9) and x.

Then, x + 9 = `56/100` (x + 9 + x)

⇒ 25(x + 9) = 14(2x + 9)

⇒ 3x = 99 ⇒ x = 33

So, their marks are 42 and 33.

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Percentage, Discount and Partnership (Entrance Exam)
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