Find the values of the letters and give reasons for the steps involved. `AB xx 6=BBB`

Explanation

To solve the equation \( AB \times 6 = BBB \), we will follow a systematic approach to find the values of \( A \) and \( B \).

### Step 1: Understand the equation
The equation can be interpreted as follows:
- \( AB \) is a two-digit number where \( A \) is the tens place and \( B \) is the units place. Therefore, \( AB = 10A + B \).
- \( BBB \) is a three-digit number where all digits are \( B \). Thus, \( BBB = 100B + 10B + B = 111B \).

So, we can rewrite the equation as:
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