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 scored by Shefali 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

Let us reduce English by 3 marks = 30 - x - 3 = 27 - x

According to the given question, Product of these two marks = 210

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

27x - x² + 54 - 2x = 210

- x² + 25x + 54 = 210

- x² + 25x + 54 - 210 = 0

- x² + 25x - 156 = 0

On multiplying both sides by -1, we get

x² - 25x + 156 = 0

Now we will use middle term factorisation to solve further.

x² - 12x - 13x + 156 = 0

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

x = 13 and x = 12

Two possible answers for this given question is:

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

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

☛ Check: NCERT Solutions for Class 10 Maths Chapter 4

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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

Summary:

If in a class test, the sum of Shefali’s marks in Mathematics and English is 30 and had she got 2 marks more in Mathematics and 3 marks less in English, the product of their marks would have been 210, then Shefali's marks in the two subjects are 12 in mathematics and 18 marks in English or 13 in mathematics and 17 marks in English.

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