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Here are some consecutive odd integers. All must follow this form: x+x+2+x+2=3x + 6
6 is divisible by 3. So is 3x. If you add two integers that are divisible by 3, it is still divisible by three.
The question is not about odd integers, but consecutive integers.
This should be x + x+1 + x+2 =3x+3
A bit simpler would be the three in a row : x-1, x, x+1 which add up to 3x which can be divided by 3.
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Divide the sum of the three consecutive integers by 3: 138/3 = 46. The smallest of these integers will be one less than 46 and the largest will be one more than 46, so the three consecutive integers will be 45, 46, and 47.
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Divide the sum of the three consecutive odd integers by 3: 402/3 = 134. The smallest of these integers will be two less than 134 and the largest will be two more than 134, so the three consecutive odd integers will be 132, 134, and 136.
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