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.

Let marks in Hindi be x
Then marks in Eng = 30 – x
∴ (x + 2) (30 – x – 3) = 210
⇒ x²– 25x + 156 = 0 or (x – 13) (x – 12) = 0
⇒ x = 13 or x = 12
∴ 30 – 13 = 17 or 30 – 12 = 18
∴ Marks in Hindi & English are
(13, 17) or (12, 18)

Let marks in Hindi be x

Then marks in Eng = 30 – x

∴ (x + 2) (30 – x – 3) = 210

⇒ x²– 25x + 156 = 0 or (x – 13) (x – 12) = 0

⇒ x = 13 or x = 12

∴ 30 – 13 = 17 or 30 – 12 = 18

∴ Marks in Hindi & English are

(13, 17) or (12, 18)