- Trending Categories
- 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 15. The number obtained by reversing the order of digits of the given number exceeds the given number by 9. Find the given number.

Given :

Sum of the digits of a two-digit number $= 15$.

When we interchange the digits, the resulting new number exceeds the original number by $9$.

To do :

We have to find the given number.

Solution :

Let the two-digit number be $10x+y$.

$x + y = 15$

$x=15-y$.....(i)

The number formed on reversing the digits is $10y+x$.

Therefore,

$10y+x = (10x+y)+9$

$10y-y+x-10x = 9$

$9(y-x) = 9$

$y-x = 1$

$y-(15-y) = 1$ (From (i))

$y+y = 1+15$

$2y = 16$

$y = 8$

This implies,

$x = 15-8 = 7$

The original number is $10(7)+8 = 70+8 = 78$.

The original number is 78.

- Related Articles
- The sum of the digits of a two-digit number is 9. Also, nine times this number is twice the number obtained by reversing the order of the digits. Find the number.
- The sum of a two digit number and the number obtained by reversing the order of its digits is 99. If the digits differ by 3, find the number.
- Sum of a two-digit number and the number obtained by reversing the digits is always divisible by?
- Sum of the digits of a two digit number is 9. When we interchange the digits of the two digit number, the resultant number exceeds the original number by 27. Find the number.
- The difference of the digits of a two-digit number is 2. The sum of that two-digit number and the number obtained by interchanging the places of its digits is 132. Find the two-digit number(s).
- The sum of a two-digit number and the number formed by reversing the order of digits is 66. If the two digits differ by 2, find the number. How many such numbers are there?
- Seven times a two-digit number is equal to four times the number obtained by reversing the digits. If the difference between the digits is 3. Find the number.
- Find the Largest number with given number of digits and sum of digits in C++
- The sum of digits of a two-digit number is 13. If the number is subtracted from the one obtained by interchanging the digits, the result is 45. What is the number?
- The sum of the digits of a 2-digit number is 8. If the digits are reversed, the new number increases by 18. Find the number.
- Sum of the digits of a two-digit number is 9. When we interchange the digits, it is found that the resulting new number is greater than the original number by 27. What is the two-digit number?
- 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.
- The sum of the digit of a 2 digit number is 6 . On reversing it\'s digits, the number is 18 less than the original number find the number
- Sum of the digits of a two - digit number is 9 . When we interchange the digits, it is found that the resulting interchange the digits, it is found that resulting number is greater than original number by 27. What us two digit number?
- Maximize the given number by replacing a segment of digits with the alternate digits given in C++

Advertisements