Final answer:
To solve for the 10-digit combination, each letter must be matched to a unique digit from 0-9 using clues that form a system of linear equations based on cryptarithmetic puzzles.
Step-by-step explanation:
The digit represents a single numeral within a number, which can range between 0 and 9. When two digits are written together, such as '42,' the first digit represents the tens place and the second digit represents the ones place. To find the 10-digit combination to Luke's bicycle lock, we need to solve a set of cryptarithmetic puzzles where each letter stands for a different digit. We must apply systematic strategies to decode the numeric values of those letters. The clues given are algebraic in nature and require the solving of a system of linear equations where each letter corresponds to a unique digit.