Question

A number is 27 more than the number obtained by reversing its digits. If its unit's and ten's digits are x and y respectively, write the linear equation representing the above statement.

Answer 1

Let the number's unit's digit is $x$ and ten's digit is $y$

Then the number$=x+10y$

If we reverse the number's digit then the number $=y+10x$

Given that the number is $27$ more than the reversed number

So, $(x+10y)-(y+10x)=27$

Or $x+10y-y-10x=27$

Or $9y-9x-27=0$

Or $y-x-3=0$