Question

The Difference Of Digit Of A Two Digit Number Is 3.On Reversing The Order Of Digit,The New Number Decreases By 27 Than Original Number.Find The Number.
[tex/]Follów me Aim 500[tex/]​

Answer 1

Answer:

Lets xy is a two digit number.

Lets xy is a two digit number.From the question, we have to check for xy−yx

Lets xy is a two digit number.From the question, we have to check for xy−yxxy−yx=(10x+y)−(10y+x)=9x−9y=9(x+y)

Lets xy is a two digit number.From the question, we have to check for xy−yxxy−yx=(10x+y)−(10y+x)=9x−9y=9(x+y)Which is always divisible by 9.

Lets xy is a two digit number.From the question, we have to check for xy−yxxy−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.