Question

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 1

Step-by-step explanation:

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Answer 2

Answer:

Step-by-step explanation:

Given :-

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.

To Find :-

Marks in two subjects.

Solution :-

Lets the Arun's marks in hindi me x

And marks in english be y.

According to the Question

⇒ x + y = 30              ..... (i)

⇒ (x + 2) (y - 3) = 210 .....(ii)

From Eq (i) put x = 30 - y in Eq (ii)

⇒ (30 - y + 2) (y - 3) = 210

⇒ (32 - y) (y - 3) = 210

⇒ 32y - 96 - y² + 3y = 210

⇒ y² - 35y + 306 = 0

⇒ y² - 18y - 17y + 306 = 0

⇒ y (y - 18) - 17 (y - 18) = 0

⇒ (y - 18) (y - 17) = 0

⇒ y = 18, 17

Putting y = 18 and 17 in Eq (i), we get

x = 12 and 13

Hence, his marks in hindi can be 12 and 13 and in english his marks can be 18 and 17.