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 the marks scored by Shefali in Maths be ‘x’ and marks scored in English by Shefali will be (30 – x). 

(x + 2) (30 – x – 3) = 210 

(x + 2)(27 – x) = 210 

27x – x² + 54 – 2x = 210 

-x² + 25x + 54 = 210 

-x² + 25x + 54 – 210 = 0 

-x² + 25x – 156 = 0 

x² – 25x + 156 = 0

x² – 13x – 12x + 156 = 0 

x(x – 13) – 12 (x- 13) = 0 

(x – 13) (x – 12) = 0 

If x – 13 = 0, then x = 13 

If x – 12 = 0, then x = 12 

∴ x = 13 OR x = 12 

∴ Shefali scores in Maths, x = 13 

Shefali’s marks in English = 30 – x 

= 30 – 13 

= 17.