Q. 133.8( 16 Votes )

# The sum of the digits of a two - digit number is 15. The number obtained by interchanging the digits exceeds the given number by 9. Find the number.

Let the two - digit number be xy (i.e. 10x + y).

After interchanging the digits of the number xy, the new number becomes yx (i.e. 10y + x).

According to question -

x + y = 15.....(1)

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

- 9x + 9y = 9

- x + y = 1.....(2)

Adding equations (1) and (2), we get -

y = 8

Substitute the value of y in equation (1), we get -

x = 7

Thus, the required number is 78.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Dealing With the Real Life Problems53 mins
Quiz | Solution of Linear Equations53 mins
Champ Quiz | Consistency and Inconsistency of Solutions36 mins
Pair of Linear Equations in Two Variables46 mins
Quiz | Real Life Problems Through Linear Equations56 mins
Smart Revision | Important Word Problems37 mins
Dealing with the Real Life Problems54 mins
Elimination (quicker than quickest)44 mins
Bonus on Applications of Linear Equations in Two Variables43 mins
Consistent and Inconsistent Equations33 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
RELATED QUESTIONS :