Question

the difference of two number and the number obtained by reversing its digit is always divisible by which number​

Answer 1

Answer:

Lets xy is a two digit number.

From the question, we have to check for xy−yx

xy−yx=(10x+y)−(10y+x)=9x−9y=9(x+y)

Which is always divisible by 9.

Hence the difference of a two digit number and the number obtained by reversing the digit is always divisible by 9.

Answer 2

Answer:

Lets xy is a two digit number.

From the question, we have to check for xy−yx

xy−yx=(10x+y)−(10y+x)=9x−9y=9(x+y)

Which is always divisible by 9.

Hence the difference of a two digit number and the number obtained by reversing the digit is always divisible by 9.