Question

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

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
$\Rightarrow -x^2+25x+54=210$
$\Rightarrow x^2-25x+156=0$
$\Rightarrow x^2-12x-13x+156=0$
$\Rightarrow x(x-12)-13(x-12)=0$
$\Rightarrow (x-12)(x-13)=0$
$\Rightarrow x=12,13$
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