Understanding the Code Language Puzzle

The question presents a coded language where specific words are represented by numbers. We are given two examples: 'ECTOPIC' is coded as '71' and 'EDIFY' is coded as '49'. The task is to determine the numerical code for the word 'ECONOMY' using the same logic.

Decoding the Pattern: Step-by-Step Analysis

To find the logic, let's examine the relationship between the letters in the given words and their corresponding numbers. We'll find the standard alphabetical position for each letter (A=1, B=2, C=3, ..., Z=26).

Analyzing 'ECTOPIC' = 71

• E is the 5th letter.
• C is the 3rd letter.
• T is the 20th letter.
• O is the 15th letter.
• P is the 16th letter.
• I is the 9th letter.
• C is the 3rd letter.

Let's sum these positions:

$5 + 3 + 20 + 15 + 16 + 9 + 3 = 71$

The sum of the alphabetical positions matches the given code number '71'.

Analyzing 'EDIFY' = 49

• E is the 5th letter.
• D is the 4th letter.
• I is the 9th letter.
• F is the 6th letter.
• Y is the 25th letter.

Let's sum these positions:

$5 + 4 + 9 + 6 + 25 = 49$

The sum of the alphabetical positions also matches the given code number '49'.

Identifying the Pattern

Based on the analysis of both examples, the code language uses the sum of the alphabetical positions of the letters within a word to derive its numerical code.

Applying the Pattern to 'ECONOMY'

Now, we apply the same logic to the word 'ECONOMY'.

• E is the 5th letter.
• C is the 3rd letter.
• O is the 15th letter.
• N is the 14th letter.
• O is the 15th letter.
• M is the 13th letter.
• Y is the 25th letter.

Summing these positions:

$5 + 3 + 15 + 14 + 15 + 13 + 25 = 90$

Final Answer Derivation

By summing the alphabetical positions of the letters in 'ECONOMY', we get 90. Therefore, in this code language, 'ECONOMY' will be written as '90'.