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In a class test, the sum of Arun’s marks in Hindi and English is 30. Had he got 2 marks more in Hindi and 3 marks less in English, the product of the marks would have been 210. Find his marks in the two subjects.

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CBSE 10th Class past year question paper

Year 2019

SET 1, Code Number- 30/2/1

Question number – 30

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1 Answer

  1. Let marks in Hindi be x
    Then marks in Eng = 30 – x
    ∴ (x + 2) (30 – x – 3) = 210
    ⇒ x²– 25x + 156 = 0 or (x – 13) (x – 12) = 0
    ⇒ x = 13 or x = 12
    ∴ 30 – 13 = 17 or 30 – 12 = 18
    ∴ Marks in Hindi & English are
    (13, 17) or (12, 18)

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