Find the values of the letters and give reasons for the steps involved. `12A + 6AB =A09`

Explanation

To solve the equation \( 12A + 6AB = A09 \), we need to find the values of the letters \( A \) and \( B \). Let's break it down step by step.

### Step 1: Understand the Equation
The equation can be interpreted as:
- \( 12A \) represents a two-digit number where \( A \) is the tens place.
- \( 6AB \) represents a three-digit number where \( A \) is the hundreds place and \( B \) is the tens place.
- \( A09 \) represents a three-digit number where \( A \) is the hundreds place and the last two digits are 09.

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