Two students A and B appeared in an exam, A secured 8 marks more than B and the marks of the former was 55% of the sum of their marks. Find the sum of marks obtained by A and B.
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 80
Suppose the marks of A and B are ‘a’ and ‘b’ respectively.
a = b + 8
Marks of A is 55% of the sum of marks of A and B:
a = 0.55 × (a + b)
⇒ 0.45a = 0.55b
⇒ a/b = 11/9
2 units = 8
⇒ 20 units = 80
Sum of marks obtained by A and B = 80