Cheryl's puzzle involves two distinct one-digit numbers whose product's last digit corresponds to the last digit of Bernard's house number. The clues unfold with Albert and Bernard making statements that reveal their knowledge or lack thereof regarding the numbers and their sum. Through logical deductions, it's determined that the only time Bernard can conclusively know the sum is when it uniquely yields a specific outcome. After analyzing various possibilities for the last digits of the products, the only viable sum for Cheryl’s two numbers is consistently identified as 10.
In this puzzle, we're tasked with deducing two distinct one-digit numbers based on clues from Albert, Bernard, and Cheryl involving last digits of products and uniqueness of sums.
Given the complexity and intertwined clues, the number pairs yielding an ambiguous last digit necessitate careful consideration, particularly focusing on unique sums critical for Bernard's knowledge.
Ultimately, through logical deductions stemming from each character's statements, the only unique sums of a and b result in the numbers summing to 10, irrespective of permutations.
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