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 above statement.

Answer 1

Given, 

A number is 27 more than the number obtained by reversing its digits. 

Number is 10y + x 

Reverse of the number is 10x + y 

⇒ 10y + x = 10x + y + 27

⇒ 9x – 9y + 27 = 0 

⇒ x – y + 3 = 0