Coding Logic for PURPLE

This problem involves a simple substitution cipher where letters are mapped to digits based on the given examples.

Identify Letter-Digit Mappings

We need to determine the digit corresponding to each letter from the words APPLE and RUNG.

• From APPLE = 25563:
  • A = 2
  • P = 5
  • L = 6
  • E = 3
• From RUNG = 7148:
  • R = 7
  • U = 1
  • N = 4
  • G = 8

Code the Word PURPLE

Now, apply the identified mappings to the letters in the word PURPLE:

• P corresponds to 5
• U corresponds to 1
• R corresponds to 7
• P corresponds to 5
• L corresponds to 6
• E corresponds to 3

Final Code

Combining these digits gives the code for PURPLE.

PURPLE = 517563