Question

Two students X and Y appeared at an examination. X secured 9 marks more than marks of Y and marks of X was 56% of the sum of their marks. The marks obtained by X and Y are respectively
1. 39, 30
2. 41, 32
3. 42, 33
4. 43, 34

Answer 1

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