Question

5. 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

ignore my hand writing

Answer 2

Answer:

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.