Quadratic Equations (C10)

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.

Answer

Let marks in Hindi be x.

Then marks in English = 30 – x

According to the question,

(x + 2)(30 – x – 3) = 210

⇒ x2 – 25x + 156 = 0

(x – 13)(x – 12) = 0

⇒ x = 13 or x = 12

∴ 30 – 13 = 17 or 30 – 12 = 18

∴ Marks in Hindi and English are (13, 17) or (12, 18)