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1. Two students appeared at an examination. (A) One of them secured 9 marks more than the other(B) and his marks was 56% of the sum of their marks. The marks obtained by A and B are:

A. 39, 30 B. 41, 32 C. 42, 33 D. 43, 34 E. None of these

2. At present, the ratio between the ages of Arun and Deepak is 4 : 3. After 6 years, Arun’s age will be 26 years. Find the value of A and B if A is present age of Deepak and B is present age of Arun?

A. 16, 20 B. 15, 32 C. 16, 33 D. 15, 20 E. None of these

Answer: Option C

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.

Answer: Option D

Let the present ages of Arun and Deepak be 4x years and 3x years respectively. Then,

4x + 6 = 26 => 4x = 20 => x = 5. Deepak’s age = 3x = 15 years.