Two students appeared at an examination. One of them secured 9 marks more than t

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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:

A . 41, 32

B . 43, 34

C . 39, 30

D . 42, 33

Answer: Option D
Answer: (d)Let the marks obtained by first student be x.Marks obtained by second student = x + 9Sum of their marks = 2x + 9As given, x + 9 = 56% of (2x + 9)x + 9 = $56/100 × (2x + 9)$$x + 9 = 14/25 × (2x + 9)$25x + 225 = 28x + 1263x = 225 – 126 ⇒ $x = 99/3 = 33$Marks obtained are 42 and 33.

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