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