SOLUTION: what are three consecutive odd numbers whose sum is 105?

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Since refers to any even number, refers to any odd number. So the sum of three consecutive odd numbers is:





Start with the translated equation



Group like terms on the left side

Combine like terms on the left side


Subtract 9 from both sides


Combine like terms on the right side


Divide both sides by 6 to isolate x



Reduce



Now plug in into





So the first number is 33

Now plug in into

Second Number:



Now plug in into
Third Number:



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Answer:

So the three numbers are 33,35, and 37