Decoding the Letter Code

The problem presents a coding language where letters are replaced by numbers. We need to find the code for the word COLONY based on the given examples: C = 24 and O = 12.

Identifying the Coding Pattern

Let's analyze the given codes:

• C: Its standard position in the alphabet is 3. The reverse position (from Z=1) is calculated as $26 - 3 + 1 = 24$. This matches the given code.
• O: Its standard position is 15. The reverse position is $26 - 15 + 1 = 12$. This also matches the given code.

The pattern is the reverse alphabetical position of each letter.

Applying the Pattern to COLONY

We apply the reverse alphabetical position rule to each letter in COLONY:

• C: Reverse position = 24
• O: Reverse position = 12
• L: Standard position = 12. Reverse position = $26 - 12 + 1 = 15$.
• O: Reverse position = 12
• N: Standard position = 14. Reverse position = $26 - 14 + 1 = 13$.
• Y: Standard position = 25. Reverse position = $26 - 25 + 1 = 2$.

Constructing the Final Code

Combining the reverse positions for each letter in COLONY gives us the code:

C O L O N Y

24 12 15 12 13 2

Concatenating these numbers results in 24121512132.