Task 1. (1 point)

Find the largest three-digit number ABC that is divisible by the two-digit numbers AB and BC. (Different letters do not necessarily represent different digits)
Answer: 990

Solution:

The number 990 clearly fits. A larger answer is not possible, as all three-digit numbers greater than 990 do not divide by 99: the next number divisible by 99 is 1089.

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