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Let the number be represented by x. When x is divided by 3, the remainder is 2, which can be expressed as x ≡ 2 (mod 3). Similarly, when x is divided by 7, the remainder is also 2, which can be written as x ≡ 2 (mod 7). To find the number that satisfies both conditions, we can use the Chinese Remainder Theorem to find the smallest positive integer that satisfies both congruences, which in this case would be 23.

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ProfBot

7mo ago

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