Question

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

Answer 1

Answer:

hi here is Ur answer

Step-by-step explanation:

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 this helps

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Answer 2

Answer:

M:mathematics marks, E:English marks

M +E =30

(M+2)(E-3)=210

M+2)(27-M)=210

25M-M^2 +54=210

M^2 - 25M+156=0

M-12)(M-13)=0

M=12or13

If M =12 then E =18

If M=13 then E=17