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 her marks would have been 210. Find her marks in two subjects.
Let the marks obtained in Mathematics by Shefali be ‘a’.
Given, sum of the marks obtained by Shefali in Mathematics and English is 30.
Marks obtained in science = 30 – a
Also, she got 2 marks more in Mathematics and 3 marks less in English, the product of her marks would have been 210.
⇒ (a + 2)(30 – a – 3) = 210
⇒ -a2 + 25a + 54 = 210
⇒ a2 – 25a + 156 = 0
⇒ a2 – 13a – 12a + 156 = 0
⇒ a(a – 13) – 12(a – 13) = 0
⇒ (a – 12)(a – 13) = 0
⇒ a = 12 or 13
Marks in English = 18 or 17
Marks in Mathematics = 12, Marks in English = 18
Or
Marks in Mathematics = 13, Marks in English = 17