Q. 154.3( 6 Votes )

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Answer :

Let denominator be ‘a’.


Given: Numerator = a – 3


To find: the original fraction


Method Used:


To solve the quadratic equation by factorisation method, follow the steps:


1) Multiply the coefficient of x2 and constant term.


2) factorise the result obtained in step 1.


3) Now choose the pair of factors in such a way that after adding or subtracting(splitting) them


You get coefficient of x.


Explanation:


As the denominator, be ‘a’.


Numerator = a – 3


The fraction is .


According to the ques:


If 2 is added to both the numerator and the denominator,


then the sum of the new fraction and the original fraction is .


New fraction is






20(a2 – a – 6) + 20a2 – 20a = 29a2 + 58a


11a2 – 98a – 120 = 0


11a2 – 110a + 12a – 120 = 0


11a (a – 10) + 12(a – 10) = 0


(11a + 12) (a – 10) = 0


a = 10


Thus, the original fraction is


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