Decoding the Alphabetical Code Pattern

The problem uses a coding scheme where words are represented by the sum of the reverse alphabetical positions of their letters. The reverse position is calculated using the formula: Reverse Position = 27 - (Alphabetical Position).

Applying the Code to 'ROTARY'

First, let's verify the code for 'ROTARY' which is given as 65.

• R: Alphabetical Position = 18, Reverse Position = 27 - 18 = 9
• O: Alphabetical Position = 15, Reverse Position = 27 - 15 = 12
• T: Alphabetical Position = 20, Reverse Position = 27 - 20 = 7
• A: Alphabetical Position = 1, Reverse Position = 27 - 1 = 26
• R: Alphabetical Position = 18, Reverse Position = 27 - 18 = 9
• Y: Alphabetical Position = 25, Reverse Position = 27 - 25 = 2

Sum of reverse positions for 'ROTARY' = $9 + 12 + 7 + 26 + 9 + 2 = 65$. The pattern is confirmed.

Calculating the Code for 'CONSCIENCE'

Now, we apply the same pattern to the word 'CONSCIENCE'.

• C: Position = 3, Reverse = 27 - 3 = 24
• O: Position = 15, Reverse = 27 - 15 = 12
• N: Position = 14, Reverse = 27 - 14 = 13
• S: Position = 19, Reverse = 27 - 19 = 8
• C: Position = 3, Reverse = 27 - 3 = 24
• I: Position = 9, Reverse = 27 - 9 = 18
• E: Position = 5, Reverse = 27 - 5 = 22
• N: Position = 14, Reverse = 27 - 14 = 13
• C: Position = 3, Reverse = 27 - 3 = 24
• E: Position = 5, Reverse = 27 - 5 = 22

Sum of reverse positions for 'CONSCIENCE' = $24 + 12 + 13 + 8 + 24 + 18 + 22 + 13 + 24 + 22 = 180$.

Therefore, 'CONSCIENCE' will be written as 180 in this code language.