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Question:
When three positive integers are divided by $24$, the remainders are $10,$ $4,$ and $12,$ respectively.

When the sum of the three integers is divided by $24$, what is the remainder?
Answer:
Let's think step by step.

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When three positive integers are divided by $24$, the remainders are $10,$ $4,$ and $12,$ respectively.

When the sum of the three integers is divided by $24$, what is the remainder?
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