Question

In a class test the sum of Shefali’s makes in Math and English is 30. Had she got 2 marks more in Math and 3 marks less in English, the product of their marks would have been 210. Find her marks in two subjects.

Answer 1

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

Answer 2

Answer:refer to the attachment below

Step-by-step explanation:

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