A third of Arun’s marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in… · ABC26GN0845
Subject: General Aptitude · Chapter: Simplification
A third of Arun’s marks in Mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks did he get in English?
Answer
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Explanation
Let Arun's marks in Mathematics and English be $x$ and $y$ respectively. Then, $\frac{1}{3} x-\frac{1}{2} y=30 \Leftrightarrow 2 x-3 y=180 \quad \ldots(i)$ and $x+y=240$ Solving (i) and (ii), we get: $x=180$ and $y=60$. ∴ Arun's marks in English $=60$.
Explanation as extracted from the printed page; notation may be imperfect.