In a class test,the sum of Shefali's marks in | vedclass

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(C) Let the marks in Mathematics be $x$.Then,the marks in English will be $30-x$.According to the given condition:$(x+2)(30-x-3) = 210$$(x+2)(27-x) =

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Both $A$ and $B$ are possible

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(C) Let the marks in Mathematics be $x$.Then,the marks in English will be $30-x$.According to the given condition:$(x+2)(30-x-3) = 210$$(x+2)(27-x) = 210$$27x - x^2 + 54 - 2x = 210$$-x^2 + 25x + 54 = 210$$x^2 - 25x + 156 = 0$Solving the quadratic equation by splitting the middle term:$x^2 - 12x - 13x + 156 = 0$$x(x-12) - 13(x-12) = 0$$(x-12)(x-13) = 0$So,$x = 12$ or $x = 13$.Case $1$: If marks in Mathematics are $12$,then marks in English are $30-12 = 18$.Case $2$: If marks in Mathematics are $13$,then marks in English are $30-13 = 17$.

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.

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