SOLUTION: Find two consecutive odd integers whose sum is 56. How do I do this? --Thanks

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Question 102807: Find two consecutive odd integers whose sum is 56. How do I do this?
--Thanks
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Consecutive odd integers follow the form: 2x%2B1, 2x%2B3, 2x%2B5, ...., etc.

So the sum of sum of two consecutive odd integers is

%282x%2B1%29%2B%282x%2B3%29=56



4x%2B4=56 Combine like terms on the left side


4x=56-4Subtract 4 from both sides


4x=52 Combine like terms on the right side


x=%2852%29%2F%284%29 Divide both sides by 4 to isolate x



x=13 Divide

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Answer:
So our answer is x=13


So that means our first number is
2%2813%29%2B1=27

And our second number is
2%2813%29%2B3=29


So our 2 numbers are: 27 and 29