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.

Question

A number is 27 more than the number obtained by reversing its digits. If its unit&#x2019;s and ten&#x2019;s digit are x and y respectively, write the linear equation representing the above statement.

Philoid · Accepted Answer

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