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InterviewSolution
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In a class test, the sum of Shefali’s marks in Mathematics and English is 30. Had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210. Find her marks in the two subjects. |
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Answer» Let the marks scored by Shefali in Maths be ‘x’ and marks scored in English by Shefali will be (30 – x). (x + 2) (30 – x – 3) = 210 (x + 2)(27 – x) = 210 27x – x2 + 54 – 2x = 210 -x2 + 25x + 54 = 210 -x2 + 25x + 54 – 210 = 0 -x2 + 25x – 156 = 0 x2 – 25x + 156 = 0 x2 – 13x – 12x + 156 = 0 x(x – 13) – 12 (x- 13) = 0 (x – 13) (x – 12) = 0 If x – 13 = 0, then x = 13 If x – 12 = 0, then x = 12 ∴ x = 13 OR x = 12 ∴ Shefali scores in Maths, x = 13 Shefali’s marks in English = 30 – x = 30 – 13 = 17. |
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