Subject
Bank Exam
Topic
বাংলাদেশ ব্যাংক (সহকারী পরিচালক) - ২০.১০.২০২৩
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?
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?
ক)
180খ)
120গ)
90ঘ)
60Explanation
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.Related questions
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