Two students appeared in an examination. One of them scored 15 marks more than the other, and his marks were 55% of the sum of their marks. The marks obtained by them are -

Explanation

Let the marks obtained by two students in an examination be $x$ and $x+15$ respectively. As per the question $(x + 15) = 0.55 (x + x + 15)$ $(x + 15) = 0.55 (2x + 15)$ $x + 15 = 1.1x + 0.55 \times 15$ $15 - 8.25 = 0.1x$ $x = \frac{6.75}{0.1}$ $x = 67.5$ Number of marks obtained by the second student $= x + 15$ $= 67.5 + 15$ $= 82.5$