Correct Answer - Option 3 : 42, 33
Given,
X scored 9 marks more than Y and marks of X was 56% of the sum of X and Y
∴ Let the marks scored by Y = x
Then, the marks scored by X = x + 9
According to question,
x + 9 = (56/100) × (x + x + 9)
⇒ 100x + 900 = 112x + 504
⇒ 12x = 396
⇒ x = 33
∴ Y = 33 and X = 33 + 9 = 42
∴ The marks obtained by X and Y are 42 and 33 respectively