Question

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
1. 52, 43
2. 42, 31
3. 42, 32
4. 42, 33

Answer 1

Correct Answer - Option 4 : 42, 33

Given:

One student score 9 marks more than the other student.

The same student gets marks 56% of the sum of their marks.

Calculation:

Let the marks of one student be x.

Let the marks of other student be (x + 9).

The sum of their marks = x + x + 9 = 2x + 9

According to the question;

⇒ (x + 9) = 56/100 × (2x + 9)

⇒ (x + 9) = 14/25 × (2x + 9)

⇒ 25x + 225 = 28x + 126

⇒ 3x = 99

⇒ x = 33

The marks of the one student = 33

The marks of the other student = 33 + 9 = 42

∴ The marks of the both students is 33, 42.