2021 Mathematics - Number System

The difference between a 2-digit number and the number obtained by interchanging the positions of the digits is 54. Consider the following statements : 1. The sum of the two digits of the number can be determined only if the product of the two digits is known. 2. The difference between the two digits of the number can be determined. Which of the above statements is/are correct?

• 1 only
• 2 only
• Both 1 and 2
• Neither 1 nor 2