The difference between a two-digit number and the number obtained by interchanging the digits is 27. What is the difference between the digits of the number?

3

Let the two digit number = 10x + y

Number obtained by interchanging the digit is 10y + x.

According to the question,

⇒ (10x + y) − (10y + x) = 27

Simplifying the equation,

⇒ 9x − 9y = 27

⇒ x − y = 3

Hence, the difference between the two digits = 3.