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The sum of three consecutive odd numbers must be divisible by 3. As 59 is not wholly divisible by 3 the question is invalid.

PROOF : Let the numbers be n - 2, n and n + 2. Then the sum is 3n which is divisible by 3.

If the question refers to three consecutive numbers then a similar proof shows that the sum of these three numbers is also divisible by 3. Again, the question would be invalid.

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Q: The sum of 3 consecutive odd numbers is 59 what are the numbers?
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