To find out which digit represents the word "Light" in the given code language, we can analyze the provided coded messages step by step.
### Step 1: Analyze the given codes
We have three coded messages:
1. '324' means 'Light is bright'
2. '629' means 'Girl is beautiful'
3. '4758' means 'I prefer bright clothes'
### Step 2: Identify common words and their codes
- In the first code '324', the words are 'Light', 'is', and 'bright'.
- In the second code '629', the words are 'Girl', 'is', and 'beautiful'.
- In the third code '4758', the words are 'I', 'prefer', 'bright', and 'clothes'.
### Step 3: Find the code for 'is'
The word 'is' appears in both the first and second coded messages:
- In '324', 'is' must correspond to one of the digits (2, 3, or 4).
- In '629', 'is' must correspond to one of the digits (6, 2, or 9).
The common digit between '324' and '629' is **2**. Therefore, we can conclude that:
- **is = 2**
### Step 4: Find the code for 'bright'
Next, we need to find the code for the word 'bright'. The word 'bright' appears in both the first and third coded messages:
- In '324', 'bright' must correspond to one of the digits (2, 3, or 4).
- In '4758', 'bright' must correspond to one of the digits (4, 7, 5, or 8).
The common digit between '324' and '4758' is **4**. Therefore, we can conclude that:
- **bright = 4**
### Step 5: Identify the code for 'Light'
Now we have:
- is = 2
- bright = 4
In the first coded message '324', we can now identify the remaining digit:
- 'Light' must correspond to the remaining digit which is **3**.
### Conclusion
Thus, the digit that means 'Light' in that language is **3**.
### Final Answer
The digit that represents 'Light' is **3**.
---
