Find the values of the letters and give reasons for the steps involved. `AB xx 3 =CAB`

Explanation

To solve the equation \( AB \times 3 = CAB \), we need to find the values of the letters A, B, and C, where each letter represents a single digit.

### Step-by-Step Solution:

1. **Understanding the Equation**:
- The expression \( AB \) represents a two-digit number where A is the tens digit and B is the units digit. Therefore, \( AB = 10A + B \).
- The expression \( CAB \) represents a three-digit number where C is the hundreds digit, A is the tens digit, and B is the units digit. Therefore, \( CAB = 100C + 10A + B \).
- We can rewrite the equation as:
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