![Trending Articles on Technical and Non Technical topics](/images/trending_categories.jpeg)
Data Structure
Networking
RDBMS
Operating System
Java
MS Excel
iOS
HTML
CSS
Android
Python
C Programming
C++
C#
MongoDB
MySQL
Javascript
PHP
Physics
Chemistry
Biology
Mathematics
English
Economics
Psychology
Social Studies
Fashion Studies
Legal Studies
- Selected Reading
- UPSC IAS Exams Notes
- Developer's Best Practices
- Questions and Answers
- Effective Resume Writing
- HR Interview Questions
- Computer Glossary
- Who is Who
The product of Ramu’s age (in years) five years ago and his age (in years) nine years later is 15. Determine Ramu’s present age.
Given:
The product of Ramu’s age (in years) five years ago and his age (in years) nine years later is 15.
To do:
We have to find Ramu's present age.
Solution:
Let the present age of Ramu be $x$ years.
This implies, the age Ramu 5 years ago$=x-5$ years.
The age of Ramu 9 years later$=x+9$ years.
According to the question,
$(x-5)(x+9)=15$
$x^2-5x+9x-45=15$
$x^2+4x-45-15=0$
$x^2+4x-60=0$
Solving for $x$ by factorization method, we get,
$x^2+10x-6x-60=0$
$x(x+10)-6(x+10)=0$
$(x+10)(x-6)=0$
$x+10=0$ or $x-6=0$
$x=-10$ or $x=6$
Age cannot be negative. Therefore, the value of $x$ is $6$.
The present age of Ramu is $6$ years.
Advertisements