Coding Language Puzzle Solution

Letter Code Analysis

This problem presents a coding puzzle where letters are substituted with digits. We are provided with the codes for two words:

• 'SLIT' corresponds to '3872'
• 'LAST' corresponds to '7083'

The task is to determine the specific digit that represents the letter 'A' within this coding system.

Comparing SLIT and LAST Codes

To solve this, we'll compare the letters and digits present in both the words and their respective codes:

First, identify common elements:

• Common letters in 'SLIT' and 'LAST' are 'L', 'S', and 'T'.
• Digits common to both codes '3872' and '7083' are '3', '7', and '8'.

This observation indicates that the letters 'L', 'S', and 'T' are mapped to the digits '3', '7', and '8' in some undisclosed order. This pair of common elements doesn't directly reveal the code for 'A'.

Finding the Code for 'A'

Now, let's examine the unique elements in each word and code:

• The letter 'I' is present only in 'SLIT'.
• The letter 'A' is present only in 'LAST'.

Let's compare the digits making up the codes:

• Digits in 'SLIT' code: {3, 8, 7, 2}
• Digits in 'LAST' code: {7, 0, 8, 3}

By comparing these sets, we find the unique digits:

• The digit '2' appears in '3872' but not in '7083'. Since 'I' is unique to 'SLIT', 'I' likely corresponds to '2'.
• The digit '0' appears in '7083' but not in '3872'. Since 'A' is unique to 'LAST', 'A' likely corresponds to '0'.

Therefore, we establish the following mappings:

• 'A' is coded as '0'.
• 'I' is coded as '2'.
• 'L', 'S', 'T' are coded as '3', '7', '8' (in any order).

The question specifically asks for the code for 'A'. Our analysis concludes that 'A' is represented by the digit '0'.