Coding Logic for BREW and WEAR
This question involves finding the code for a specific letter based on given coded words. We analyze the letters and their corresponding digits in the provided examples.
Step-by-Step Decoding
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Analyze Given Codes:
'BREW' corresponds to '8135'.
'WEAR' corresponds to '3915'.
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Compare Letters and Digits:
Common letters in 'BREW' and 'WEAR' are R, E, W.
Common digits in '8135' and '3915' are 1, 3, 5.
Therefore, the letters {R, E, W} map to the digits {1, 3, 5} in some order.
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Identify Unique Mappings:
The letter 'B' is unique to 'BREW', and the digit '8' is unique to '8135'. This establishes B = 8.
The letter 'A' is unique to 'WEAR', and the digit '9' is unique to '3915'. This establishes A = 9.
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Determine Code for 'A':
Based on the unique letter-digit correspondence identified in the previous step, the code for the letter 'A' is 9.
Final Code for A
The code for 'A' is derived by comparing the unique elements between the given words and their codes. The letter 'A' uniquely corresponds to the digit '9'.
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