- 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 sum of digits of a two-digit number is 8. If 36 is added to the number then the digits reversed. Find the number.
Given :
The sum of the digits of a two-digit number is 8, if 36 is added to the number the digits get reversed.
To find :
We have to find the number.
Solution :
Let the number be $10x+y$.
$x+y=8$
It is also given that if 36 is added to the number the digits gets reversed.
Therefore,
$10x+y+36 = 10y+x$
$10y+x-10x-y = 36$
$10y-y+x-10x= 36$
$9y-x(10-1)=36$
$9y-9x=36$
$9(y-x)=36$
$y-x=\frac{36}{9}$
$y-x=4$
$y-x=4$ and $x+y=8$
Adding them,
$y-x+x+y=4+8$
$2y=12$
$y=\frac{12}{2}$
$y=6$
$x+6=8$
$x=8-6$
$x=2$
The original number is $10(2)+6=20+6=26$.
Therefore, the number is 26.
Advertisements
To Continue Learning Please Login
Login with Google