SOLUTION: the sum of three consecutive odd numbers is 39.

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Question 167923: the sum of three consecutive odd numbers is 39.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
consecutive odd numbers follow the pattern 2x+1, 2x+3, 2x+5, etc


So the equation is 2x%2B1%2B2x%2B3%2B2x%2B5=39


2x%2B1%2B2x%2B3%2B2x%2B5=39 Start with the given equation.


6x%2B9=39 Combine like terms on the left side.


6x=39-9 Subtract 9 from both sides.


6x=30 Combine like terms on the right side.


x=%2830%29%2F%286%29 Divide both sides by 6 to isolate x.


x=5 Reduce.


2x%2B1 Go back to the first number


2%285%29%2B1 Plug in x=5


10%2B1 Multiply


11 Add. So the first number is 11

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2x%2B3 Go back to the second number


2%285%29%2B3 Plug in x=5


10%2B3 Multiply


13 Add. So the second number is 13

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2x%2B5 Go back to the third number


2%285%29%2B5 Plug in x=5


10%2B5 Multiply


15 Add. So the third number is 15




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Answer:

So the consecutive odd integers are 11, 13 and 15


Check

11+13+15 = 39
39 = 39