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Asked by Savitha Last Modified
Answer Let the marks in Maths be x so the marks in English = (30 - x).
ATQ, (x + 2) (27 - x) = 210
or 27x - x² + 54 - 2x = 0
or - x² + 25x - 156 = 0
or x² - 25x + 156 = 0
or x² - 13x - 12x + 156 = 0
or x(x - 13) - 12(x - 13) = 0
or (x - 12) (x - 13) = 0
Therefore, x = 12 or x = 13
Hence, marks in Maths is 12 or 13, therefore, marks in English is either 17 or 18.
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Let Mathematics marks be x and that of English be y,
Solve the following equations: x+y=30____(i)
(x+2)(y-3)=210___(ii)
In equtation (ii) substitute y in terms of x using equation (i), then we get (x+2)(27-x)=210
solving the above quadration equation two possible values(marks) of x(mathematics) exists.
At x=12, y=18 & at x=13, y=17
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Manabesh Nath
Premium Biotechnologist
Let x and y be the marks of Shefali in Mathematics and English. Now
Sum of the marks are 30, i.e., x + y = 30
Again, (x+2)(y-3) = 210 =>xy - 3x + 2y - 6 = 210 =>x(30 -x) - 3x +2(30 - x) = 216
=>30x - x^2 - 3x + 60 - 2x = 216
=>25x - x^2 - 156 = 0
=>x^2 - 25x + 156 = 0
=> x = (25+1)2 = 13 or 12
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