# In a class test, the sum of Arun’s marks in Hindi and English is 30

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

⇒ x^{2} – 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)