Q19 of 168 Page 7

The numerator of a fraction is 3 more than its denominator. If its reciprocal is subtracted from it, the difference is . Find the fraction.

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


the fraction is



On simplifying further,



28(6X + 9) = 33(X2 + 3X)


168X + 252 = 33X2 + 99X


33X2 – 69X – 252 = 0


11X2 – 13X – 84 = 0 –––––– (i)


On applying Sreedhracharya formula






it does not have any real values.


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