Question

class test the sum of Shefali marks in mathematics and English in 30.had she got 2 marks more in mathematics and 3 marks in the product of their marks would have been 210 find her marks in the two subjects.

Answer 1

Solution:

Let the marks in Maths be x. 
Then, the marks in English will be 30 - x. 



According to the 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




HOPE it helps!!

Answer 2

here is your answer OK

Let the marks in Maths be x.So the marks in English=30-x.

New marks in Maths=x+2 and that in English=30-x-3=27-x.

If she would have got these marks then product=(x+2)(27-x)=210

=x2-25x+156=0 => (x-12)(x-13)=0

Thus x=12 or x=13

If the marks in Maths is 12 the marks in English is 18.If marks in Maths is 13 then marks in English is 17.

OK I hope I help you