Question

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

Answer 1

Given: The original number is 27 more than the number obtained by reversing its digits 

The given number is in the form of 10y + x. 

Number produced by reversing the digits of the number is 10x + y. 

As per statement: 

10y + x = 10x + y + 27 

10y – y + x – 10x = 27 

9y – 9x = 27 

9 (y – x) = 27

 y – x = 3 x – y + 3 = 0 

Above equation represents the required linear equation.