RE: LeoThread 2025-12-26 02-36

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When two numbers are separately divided by 33, the remainders are 21 and 28, respectively. If the sum of the two numbers is divided by 33, the remainder will be.....?

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Let the two numbers be (a) and (b). Then (a \equiv 21 \pmod{33}) and (b \equiv 28 \pmod{33}).
Thus, (a + b \equiv 21 + 28 = 49 \pmod{33}).
Since (49 - 33 = 16), the remainder is 16.

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