In a certain code: (A) '134' means 'you are well' (B) '758' means 'they go home' (C ) '839' means 'we are home'
Which of the following represents 'they' in that code language?

Options

A. 5
B. 7
C. 8
D. Data inadequate

Explanation

To solve the problem step by step, let's analyze the given coded messages:

1. **Identify the Codes and Their Meanings:**
- (A) '134' means 'you are well'
- (B) '758' means 'they go home'
- (C) '839' means 'we are home'

2. **Find the Common Words and Codes:**
- From (B) and (C), the common word is 'home'.
- The code for 'home' is the common digit in both codes:
- '758' (from B) and '839' (from C).
- The common digit is '8'.
- Therefore, 'home' is represented by '8'.

3. **Analyze the Remaining Codes:**
- Now we need to determine which code represents 'they'.
- From (B) '758', we have:
- 'they', 'go', 'home' corresponds to '7', '5', '8'.
- Since we already know 'home' is '8', we are left with '7' and '5' for 'they' and 'go'.

4. **Check for Additional Information:**
- We cannot determine which of '7' or '5' corresponds to 'they' or 'go' because:
- 'go' does not appear in any other code to help us identify it.
- Therefore, we cannot definitively assign '7' or '5' to 'they' or 'go'.

5. **Conclusion:**
- Since we do not have enough information to determine which digit represents 'they', we conclude that the answer is that more data is needed to identify which code represents 'they'.

### Final Answer:
The answer is that we cannot determine which digit represents 'they' based on the given information.