Q. 374.8( 32 Votes )

The sum of the reciprocals of Rehman's age (in years) 3 years ago and 5 years from now is . Find his present age.

Answer :

Let the present age of Rehman be x years.


So, 3 years age his age was = (x – 3) years


The reciprocal =


And, after 5 years the age will be = (x + 5) years


The reciprocal =


So, according to the question



Taking L. C. M. of (x – 3) and (x + 5)




6x + 6 = x2 + 2x – 15


x2 + 2x – 6x – 15 – 6 = 0


x2 – 4x – 21 = 0


x2 – 7x + 3x – 21 = 0


x(x – 7) + 3(x – 7) = 0


(x – 7)(x + 3) = 0


x = 7 and x = –3


x = – 3 is not possible because age cannot be negative.


So, x = 7


Therefore present age of Rehman is 7 years.


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
Balance the Chemical Equations49 mins
Understand The Concept of Quadratic Equation45 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