Question
Download Solution PDFA third of Arvind'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 (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven,
Let the marks Arvind got in Mathematics = M
Let the marks Arvind got in English = E
According to the question,
M/3 - E/2 = 30
Taking LCM of (3,2) = 6
Equation becomes:
2M - 3E = 180 (Equation 1)
M + E = 240
M = 240 - E (equation 2)
Now, substitute the value of M from Equation 2 into Equation 1:
⇒ 2(240 - E) - 3E = 180
Expanding:
⇒ 480 - 2E - 3E = 180
⇒ 480 - 5E = 180
⇒ 5E = 480 - 180
⇒ 5E = 300
⇒ E = 60
Therefore, the marks Arvind got in English is 60.
Hence, the correct answer is "60".
Last updated on Jun 11, 2025
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