Find the smallest number to be added to 999, so that 99 divides the sum exactly.

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We need to find the smallest number x such that (999 + x) is divisible by 99.

Step 1: Find the remainder when 999 is divided by 99.
99 * 10 = 990, remainder = 999 - 990 = 9

Step 2: To make (999 + x) divisible by 99, (9 + x) must be divisible by 99.

Step 3: The smallest x that satisfies this is x = 99 - 9 = 90.

Therefore, the smallest number to be added is 90.

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