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.

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.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Knowing the Nature of Roots44 mins
Take a Dip Into Quadratic graphs32 mins
Foundation | Practice Important Questions for Foundation54 mins
Nature of Roots of Quadratic Equations51 mins
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Champ Quiz | Quadratic Equation33 mins
Understand The Concept of Quadratic Equation45 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Quiz | Lets Solve Imp. Qs of Quadratic Equation43 mins
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation
view all courses