Question

Form an equation in one variable

In a class test the sum of Shefali marks in mathematics and English is 30 had she got 2 marks more in mathematics and 3 marks less in English the product of her marks would have been 210 find her marks in the two subjects.

Answer 1

Let Shefali’s marks in Mathematics be X.  Then her marks in English are 30-X

Had she got 2 marks more in maths her marks would have been X+2

Had she got 3 marks less in English her marks would have been 27-X

According to question

                 
(X+2)(27-X)
27X+54+-X2-2X
X2-25X+156= 0
X(X-13) -12(X-13)=0
(X-13)(X-12)= 0

X = 13 or. X= 12

         


Thus her marks in two subjects were 13 and 17 OR 12 and 18.


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Answer 2

let the marks =x
x+x =30
2x=30
x=15
marks in maths =x+2 =15+2 =17
" " english=x - 3 =15- 3=12

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