One third of Aman'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?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
3 (60)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
Let, Aman's marks in Mathematics be x and marks in English be y.
Total marks in both the subject = 240
∴ x + y = 240
⇒ 2(x + y) = 240 × 2
⇒ 2x + 2y = 480 ..................(1)
(x/3) - (y/2) = 30
⇒ (2x - 3y)/6 = 30
⇒ 2x - 3y = (30 × 6)
⇒ 2x - 3y = 180 ..................(2)
Subtracting equation (1) from equation (2) we get,
2x - 3y = 180
2x + 2y = 480
- 5y= - 300
⇒ y = - 300/- 5
∴ y = 60
∴ He scored 60 marks in English.
