Question

In a class test the sum of shefali's marks in mathematics and english is 30. Had she got 2 marks in mathematics and 3 marks less in english, the product of their marks could have been 210. Find the marks in the two subjects.

Answer 1

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Let the mark of shefali in mathematics be x

and in english be 30 - x

If She got 2 marks more in mathematics ..

so,

x + 2

If she got 3 marks less in English ..

So

30 - x - 3

27 - x. .


A/Q ...

The product of her marks is 210 ..

$(x + 2)(27 - x) = 210 \\ \\27x { - x}^{2} - 2x + 54 = 210 \\ \\ { - x}^{2} + 25x - 156 = 0 \\ \\ {x}^{2} - 25x + 156 = 0 \\ \\ x(x - 13) - 12(x - 13) = 0 \\ \\ (x - 13)(x - 12) = 0 \\ \\ x = 12....or \: x = 13$

if the marks is math be 12 then marks in English is 30 - 12 = 18

and if The marks in math is 13 then the marks in eng is 30 -13 = 17 ..


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Answer 2

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.