# 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

**Solution:**

Let the marks Shefali scored in mathematics be x.

Then, marks scored by her in English = 30 - Marks scored in Mathematics = 30 - x

Let us add 2 more marks in Mathematics = x + 2

3 marks less in English = 30 - x - 3 = 27 - x

Product of these two = 210

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

27x - x^{2} + 54 - 2x = 210

-x^{2} + 25x + 54 = 210

-x^{2} + 25x + 54 - 210 = 0

-x^{2} + 25x - 156 = 0

On multiplying both sides by -1, we get

x^{2} - 25x + 156 = 0

Let us use middle term factorisation.

x^{2} - 12x - 13x + 156 = 0

(x - 12) (x - 13) = 0

x = 13 and x = 12

Two possible answers for this given question:

If Shefali scored 13 mark in mathematics, then mark in English = (30 - 13) = 17.

If Shefali scored 12 mark in mathematics, then mark in English = (30 - 12) = 18.

**Video Solution:**

## 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

### Class 10 Maths NCERT Solutions - Chapter 4 Exercise 4.3 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

Shefali's marks in two subjects are 12 in mathematics and 18 marks in English if, 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