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

Question 96237: what are three consecutive odd numbers whose sum is 105?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
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
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