1.

In a class test, the sum of Shefalis 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» Let maths marks=x
Then english marks=30-x
If she had got maths marks=x+2
Then she had got english marks=27-x
According To Question
(x+2)*(27-x)=210
27x-`x^2`+54-2x=210
`x^2`-25x+156=0
x(x-12)-13(x-12)=0
(x-12)(x-13)=0
x=12,13
If x=12 then english marks will be 18
if x=13 then english marks will be 17.


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