Q. 55.0( 2 Votes )

The sum of two numbers is 18 and the sum of their reciprocals is . Find the numbers.

Answer :

Let the first number be ‘X’, so the other number will be ’(18–X)’.




On simplifying further,


–X2 + 18X – 72 = 0


X2 – 18X + 72 = 0


On applying Sreedhracharya formula







X = 6 or X = 12


The numbers are 6 & 12.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Get To Know About Quadratic Formula42 mins
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
Quadratic Equation: Previous Year NTSE Questions32 mins
Champ Quiz | Quadratic Equation33 mins
Understand The Concept of Quadratic Equation45 mins
Balance the Chemical Equations49 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