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.

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.

Let take Shefali’s marks in Mathematics = x

Given that

the sum of Shefali’s marks in Mathematics and English is 30

so that marks of Shefali’s in English = 30 – x

given that . she got 2 marks more in Mathematics and 3 marks less in English,

so that marks in mathematics  = x  +2

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

 the product of their marks would have been 210.

So that

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

27 x  - x² + 54 – 2x  = 210

25 x - x²  + 54 – 210 = 0

- x² + 25 x – 156  =0

Change the sign we get

x²-25x +156 =0

x²-25x +156 =0

x² – 12 x – 13 x  + 156 = 0

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

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

x-12= 0 then x  = 12

x-13 = 0 then x = 13

if Shefali marks in mathematics  = 12

then marks in English  = 30 – 12  = 18

if marks of Shefali in mathematics is 13

then marks in English  = 30 – 13  = 17