Question

 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 their marks would have been 210. Find her marks in the two subjects.​

Answer 1

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Let us say, the marks of Shefali in Maths be x.

Then, the marks in English will be 30 – x.

As per the given question,

(x + 2)(30 – x – 3) = 210

(x + 2)(27 – x) = 210

⇒ -x^2 + 25x + 54 = 210

⇒ x^2 – 25x + 156 = 0

⇒ x^2 – 12x – 13x + 156 = 0

⇒ x(x – 12) -13(x – 12) = 0

⇒ (x – 12)(x – 13) = 0

⇒ x = 12, 13

Therefore,

if the marks in Maths are 12,

then marks in English will be 30 – 12 = 18

and the marks in Maths are 13,

then marks in English will be 30 – 13 = 17.

Answer 2

Answer:

Step-by-step explanation:

Let the marks in Maths be x.

Then, the marks in English will be 30 - x.

According to the question,

(x + 2)(30 - x - 3) = 210

(x + 2)(27 - x) = 210

⇒ -x2 + 25x + 54 = 210

⇒ x2 - 25x + 156 = 0

⇒ x2 - 12x - 13x + 156 = 0

⇒ x(x - 12) -13(x - 12) = 0

⇒ (x - 12)(x - 13) = 0

⇒ x = 12, 13

* If the marks in Maths are 12, then marks in English will be 30 - 12 = 18

* If the marks in Maths are 13, then marks in English will be 30 - 13 = 17

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