DIFFERENCE of 2-digit number and number OBTAINED by interchanging digits = 54Concept used:2- digit number ab is written as (10a + b)Calculation:Let the tens PLACE of 2-digit number be xAnd the unit place is y.According to the QUESTION,The difference of 2-digit number and number obtained by interchanging digits = 54⇒ (10x + y) – (10y + X) = 54⇒ 10x + y – 10y – x = 54⇒ 9x – 9y = 54⇒ 9(x – y) = 54⇒ x – y = 6∴ The difference between the two digits is 6.