Q. 394.0( 3 Votes )

If a boy's age and his father's age amount together to 24 years. Fourth pan i product of their ages exceeds the boy's age by 9 years. Find how old they are?

Answer :

Let the father and his son’s age be ‘X’ yrs and ’(24–X)’ yrs respectively.


As per the question,



24X – X2 – 96 + 4X = 36


X2 – 28X + 132 = 0


X2 – 22X – 6X + 132 = 0


X(X – 22) – 6(X – 22) = 0


(X – 6)(X – 22) = 0


X = 22 & boy’age is 2 years.


X = 6 & boy’age is 18 years. (practically not possible)


The age of father and his son are 22 years & 2 years respectively.


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 EquationsFREE Class
Getting Familiar with Nature of Roots of Quadratic Equations51 mins
Champ Quiz | Quadratic Equation33 mins
Quadratic Equation: Previous Year NTSE Questions32 mins
Balance the Chemical Equations49 mins
Know More About The Quadratic Formula43 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