Q. 22

The numerator of a fraction is 3 less than denominator. If 2 is added to both 29 numerator as well as denominator, then sum of the new and original fraction is . Find the fraction.

Answer :

Let the denominator be ‘(X+3)’, so the numerator will be ‘X’.


the original fraction is


the new fraction is



On simplifying further,



15(2X2 + 10X + 6) = 19(X2 + 8X + 15)


30X2 + 150X + 90 = 19X2 + 152X + 285


11X2 – 2X – 195 = 0 –––––– (i)


On applying Sreedhracharya formula






it does not have real values.


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