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


Had she got2 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.

Best Answer

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

= - 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

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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