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Let 'n' be the first odd number,.

Then n+ 2 & n + 4 are the second and third odd number.

Hence

n + (n+2) + ( n + 4) = 339

Add

3n + 6 = 339

3n = 333

n = 111

n + 2 = 113

n + 4 = 115

Hence the three odd consecutive numbers are 111,113 & 115.

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average is 113 so 111, 113 and 115

Q: What three consecutive odd numbers that have the sum of 339?

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The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.

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Consecutive whole numbers will have an odd sum. Consecutive odd numbers, or consecutive prime numbers, will be 29 and 31.

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The sum of two odd numbers is even and the sum of an even number and an odd number is odd.So the sum of three consecutive odd numbers is odd but 270 is even.Ergo there are no three consecutive odd numbers that sum to 270.Three consecutive numbers that sum to 270 are 89, 90, 91.Three consecutive even numbers that sum to 270 are 88, 90, 92.

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