[42, 33] Two students appeared at an examination. One of them secured 9 marks more than the other and his mar

For Competitive Exams

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:

39, 30

41, 32

42, 33

43, 34

Explanation:

Let their marks be $\left( x + 9\right)$ and $ x $.

Then, $ x $ + 9 =$ \dfrac{56}{100}$ $\left( x + 9 + x \right)$

$\Rightarrow$ 25$\left( x + 9\right)$ = 14$\left(2 x + 9\right)$

$\Rightarrow$ 3$ x $ = 99

$\Rightarrow x $ = 33

So, their marks are 42 and 33.

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