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Find the values of the letters and give reasons for the steps involved. `2AB + AB1=B18`

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To solve the equation \(2AB + AB1 = B18\) and find the values of the letters \(A\) and \(B\), we will follow these steps: ### Step 1: Understand the representation of the numbers The letters \(A\) and \(B\) represent digits. The expression \(AB\) can be interpreted as \(10A + B\) and \(AB1\) as \(10A + B + 1\). The expression \(B18\) can be interpreted as \(100B + 18\). ### Step 2: Rewrite the equation Now, we can rewrite the equation using the interpretations: \[ ...
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