In a certain code language:

- "All the time" is coded as "2 1 4"
- "The way home" is coded as "7 8 2"
- "Home is far" is coded as "3 5 8"

What is the code for the word **"Way"**?

Question

In a certain code language:

- "All the time" is coded as "2 1 4"
- "The way home" is coded as "7 8 2"
- "Home is far" is coded as "3 5 8"

What is the code for the word **"Way"**?

Accepted Answer

**Solution:**

1. From the given codes:
   - "All the time" → 2 1 4
   - "The way home" → 7 8 2
   - "Home is far" → 3 5 8

2. Identify the common words and their codes:
   - The word "the" appears in the first and second phrases.
     - Codes in first phrase: 2 1 4
     - Codes in second phrase: 7 8 2
     - The common code between these two sets is **2**, so "the" = 2.

3. The second phrase is "The way home" coded as 7 8 2.
   - We know "the" = 2.
   - So, "way" and "home" correspond to 7 and 8 in some order.

4. The third phrase "Home is far" is coded as 3 5 8.
   - The word "home" appears here as well.
   - The common code between second and third phrases is 8.
   - Therefore, "home" = 8.

5. Hence, the remaining code in the second phrase for "way" is **7**.

**Answer:** 7

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