Answer :

Let x and y be the digits in a two-digit number A = xy.


Reversing the digits, we get B = yx.


Sum of the digits in A is (10x + y).


Sum of the digits in B is (10y + x).


Difference S = A + B = (10x + y) - (10y + x).


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


The number is divisible by 9.


Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
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 :

Fill in the blankNCERT - Mathematics Exemplar

Fill in the blankNCERT - Mathematics Exemplar

If abc is a threeNCERT - Mathematics Exemplar

Let abc be a threNCERT - Mathematics Exemplar

The sum of all nuNCERT - Mathematics Exemplar

Fill in the blankNCERT - Mathematics Exemplar

Fill in the blankNCERT - Mathematics Exemplar

Fill in the blankNCERT - Mathematics Exemplar

Fill in the blankNCERT - Mathematics Exemplar

Let abc be a threNCERT - Mathematics Exemplar