Q. 54.2( 24 Votes )

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?

Answer :

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?Quiz | Who will Win the Game?Quiz | Who will Win the Game?41 mins
Quiz on Divisibility TestQuiz on Divisibility TestQuiz on Divisibility Test32 mins
Mastering Divisibility TestMastering Divisibility TestMastering Divisibility Test42 mins
Divisible or notDivisible or notDivisible or not41 mins
Quiz | Imp. Qs. on Playing With NumbersQuiz | Imp. Qs. on Playing With NumbersQuiz | Imp. Qs. on Playing With Numbers45 mins
Properties of Rational NumbersProperties of Rational NumbersProperties of Rational Numbers29 mins
Together With | Understanding SecularismTogether With | Understanding SecularismTogether With | Understanding Secularism53 mins
Quiz | Properties of Rational NumbersQuiz | Properties of Rational NumbersQuiz | Properties of Rational Numbers41 mins
Quiz | Imp Qs. on Properties of Rational NumbersQuiz | Imp Qs. on Properties of Rational NumbersQuiz | Imp Qs. on Properties of Rational Numbers45 mins
Extra Questions on Laws of Rational NumbersExtra Questions on Laws of Rational NumbersExtra 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
caricature
view all courses
RELATED QUESTIONS :