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

Step-by-step explanation:

Let the marks in Math be x and in English (30−x).

New marks in Math =2+x

New marks in English =27−x

(2+x)(27−x)=210

54−2x+27x−x

2

=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

If her marks in Math is 12, then in English she got 18.

If math mark is 13, then she got 17 in English.