The difference between a two-digit number and the number obtained by interchanging the two digits of the number is 18. The sum of the two digits of the number is 12. What is the product of the digits of two-digit number?

Options

A. 35
B. 27
C. 32
D. Couldn't be determined

Answer

To solve the problem step by step, we can follow these instructions:

### Step 1: Define the digits
Let the two-digit number be represented as:
- \( X \) = unit digit
- \( Y \) = tens digit