CBSE 10th Class past year question paper
Year 2019
SET 1, Code Number- 30/2/1
Question number – 30
Deepak BoraNewbie
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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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)