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?
Answer & explanation
Correct answer: option 1
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.