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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Let Shefali’s marks in Mathematics = x

Let Shefali’s marks in English = 30 − x

If, she had got 2 marks more in Mathematics, her marks would be = x + 2

If, she had got 3 marks less in English, her marks in English would be = 30 – x − 3 = 27 − x

According to given condition:

(x + 2) (27 − x) = 210

⇒ - x2 + 25x + 156 = 0

⇒ x(x - 12) -13(x - 12) = 0

⇒ (x - 12)(x - 13) = 0

⇒ x = 12, 13

If the marks in Maths are 12, then marks in English will be 30 - 12 = 18

If the marks in Maths are 13, then marks in English will be 30 - 13 = 17

Therefore, her marks in Mathematics and English are (13, 17) or (12, 18).

 

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