Decoding the Code Language for 'and'

This question involves figuring out the numerical code assigned to words in a specific code language. We are given three phrases with their corresponding codes and need to find the code for the word 'and'. We will break down the phrases to identify the codes for individual words.

Analyzing Coded Phrases

Let's list the given information:

• 'he is waiting' is coded as '269'
• 'she is ready' is coded as '915'
• 'he and she' is coded as '271'

Step 1: Identifying Common Word Codes

We need to compare the phrases to find common words and their corresponding common digits in the codes.

• Comparing Phrase 1 and Phrase 2:
  • 'he is waiting' = '269'
  • 'she is ready' = '915'
  The common word is 'is'. The common digit between the codes '269' and '915' is '9'. Therefore, the code for 'is' is '9'.
• Comparing Phrase 1 and Phrase 3:
  • 'he is waiting' = '269'
  • 'he and she' = '271'
  The common word is 'he'. The common digit between the codes '269' and '271' is '2'. Therefore, the code for 'he' is '2'.
• Comparing Phrase 2 and Phrase 3:
  • 'she is ready' = '915'
  • 'he and she' = '271'
  The common word is 'she'. The common digit between the codes '915' and '271' is '1'. Therefore, the code for 'she' is '1'.

Step 2: Determining the Code for 'and'

Now that we have identified the codes for 'he', 'is', and 'she', we can use the third phrase to find the code for 'and'.

• The phrase is 'he and she'.
• The code is '271'.
• We know: 'he' = 2, 'she' = 1.
• Substituting the known codes into the phrase 'he and she' = '271':
  • 'he' corresponds to '2'.
  • 'she' corresponds to '1'.
  • The phrase structure is 'he' + 'and' + 'she'.
  • The code structure is 'he_code' + 'and_code' + 'she_code' (order might vary but digits correspond).
  • So, '2' + 'and_code' + '1' must correspond to '271'.
• Looking at the code '271', if 'he' is '2' and 'she' is '1', the remaining digit is '7'. This digit must correspond to the remaining word 'and'.

Step 3: Final Code Confirmation

Let's verify the codes we found:

• 'he' = 2
• 'is' = 9
• 'she' = 1
• From 'he is waiting' = '269', we deduce 'waiting' = 6.
• From 'she is ready' = '915', we deduce 'ready' = 5.
• From 'he and she' = '271', we deduce 'and' = 7.

All the codes fit consistently across the given phrases.

Conclusion on 'and' Code

Based on the analysis, the code assigned to the word 'and' in this specific language is '7'.