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Let the smallest integer be 2n, the next integer is 2n + 2, and the largest one is 2n + 4. Then, we have:
2n + (2n + 2) = (2n + 4) + 16
4n + 2 = 2n + 20
2n = 18 the smallest integer
2n + 2 = 18 + 2 = 20 the next one
2n + 4 = 18 + 4 = 22 the largest integer
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