Question 5:

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.

Answer:

Let the marks in Maths be x.

Then, the marks in English will be 30 − x.

According to the given question,

(x + 2) (30 – x – 3) = 210

(x + 2) (27 – x) = 210

⇒–x² + 25x  + 54 = 210

⇒ x² – 25x + 156 = 0

⇒x² – 12x – 13x + 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

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