In a class test, the sum of Shefali's marks in Mathematics and English is 30.

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.


Solution:

Let the marks in Maths be x.

Then, the marks in English will be 30 – x.

According to the given question,

(x+2)(30-x-3)=210

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

$\Rightarrow-x^{2}+25 x+54=210$

$\Rightarrow x^{2}-25 x+156=0$

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

$\Rightarrow x(x-12)-13(x-12)=0$

$\Rightarrow(x-12)(x-13)=0$

$\Rightarrow x=12,13$

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.

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