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

Let us say,

the marks of Shefali in Maths be x.

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

As per the given question,

➪ (x + 2)(30 – x – 3) = 210

➪ (x + 2)(27 – x) = 210

➪ –x²+ 25x + 54 = 210

➪ x² – 25x + 156 = 0

➪ x² – 12x – 13x + 156 = 0

➪ x(x – 12) –13(x – 12) = 0

➪ (x – 12)(x – 13) = 0

➪ x = 12, 13

Therefore, if the marks in Maths are 12,

then marks in English will be 30 – 12 = 18 and the marks in Maths are 13,

then marks in English will be 30 – 13 = 17.

Answer 2

Answer:

Therefore, if the marks in Maths are 12, then marks in English will be 30 – 12 = 18 and the marks in Maths are 13, then marks in English will be 30 – 13 = 17.