Q. 384.8( 5 Votes )

The sum of the ages (in years) of a son and his father is 35 and the their ages is 150. Find their ages.

Answer :

Let the father and his son’s age be ‘X’ yrs and ‘Y’ yrs respectively.


X + Y = 35
X × Y = 150


150 + Y2 = 35Y
Y2 – 35Y + 150 = 0
(Y–5) (Y–30)=0
Y=5

the son's age (Y) = 5 yrs and father's age (X) = 30 yrs.


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
Champ Quiz | Quadratic Equation33 mins
Understand The Concept of Quadratic Equation45 mins
Quadratic Equation: Previous Year NTSE Questions32 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