Coding Logic Analysis

The question provides a coding logic where the word PEN is represented by the number 8. We need to determine the rule and apply it to the word PENCIL.

Decoding PEN

Let's find the standard positional values of the letters in PEN:

• P = 16
• E = 5
• N = 14

Summing these values:

$16 + 5 + 14 = 35$

To get the code 8 from 35, we sum the digits of 35:

$3 + 5 = 8$

This matches the given code for PEN.

Encoding PENCIL

Now, let's apply the same logic to the word PENCIL. Find the positional values of its letters:

• P = 16
• E = 5
• N = 14
• C = 3
• I = 9
• L = 12

Summing these positional values:

$16 + 5 + 14 + 3 + 9 + 12 = 59$

Now, sum the digits of the result 59:

$5 + 9 = 14$

Therefore, PENCIL will be written as 14 in this code language.