# The difference between a 2-digit number and the number obtained by interchanging its digits is 63. What is the difference between the digits of the number?

Let tens place digit be y and the units place be x.

Our number is (10y + x)

Our given first condition is that the difference between a 2-digit number and the number obtained by interchanging its digits is 63.

By given condition,

(10y + x) - (10x + y) = 63
10y - y + x - 10 x = 63
9y – 9x = 63
9(y - x) = 63
y - x = 7

Hence, the difference between the digits of the number is 7.

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Related Videos
Quiz | Who will Win the Game?41 mins
Quiz on Divisibility Test32 mins
Mastering Divisibility Test42 mins
Divisible or not41 mins
Quiz | Imp. Qs. on Playing With Numbers45 mins
Properties of Rational Numbers29 mins
Together With | Understanding Secularism53 mins
Quiz | Properties of Rational Numbers41 mins
Quiz | Imp Qs. on Properties of Rational Numbers45 mins
Extra Questions on Laws of Rational Numbers40 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