In a three-digit number, the digit at the hundred's place is two times the digit at the unit's place and the sum of the digits is 18. If the digits are reversed, the number is reduced by 396. The difference of hundred's and ten's digit of the number is

Options

A. 1
B. 2
C. 3
D. 5

Answer

To solve the problem step by step, we will define the digits of the three-digit number and set up equations based on the information provided.

### Step 1: Define the digits
Let:
- \( x \) = digit at the hundred's place
- \( y \) = digit at the ten's place
- \( z \) = digit at the unit's place