SOLUTION: What is the sum of two consecutive odd numbers plus the next even number is 56 I have to write an algebraic equation

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Question 400178: What is the sum of two consecutive odd numbers plus the next even number is 56 I have to write an algebraic equation
Found 2 solutions by Tatiana_Stebko, Fombitz:
Answer by Tatiana_Stebko(1539) About Me  (Show Source):
You can put this solution on YOUR website!
Odd number we can write in this way 2%2An-1 when n is integer
then consecutive odd number is 2%2A%28n%2B1%29-1=2n%2B2-1=2n%2B1
and the next even number (just next number after 2n%2B1) is %282n%2B1%29%2B1=2n%2B1%2B1=2n%2B2
the sum of two consecutive odd numbers plus the next even number is %282n-1%29%2B%282n%2B1%29%2B%282n%2B2%29=2n-1%2B2n%2B1%2B2n%2B2=6n%2B2
From problem's text we know that the sum of two consecutive odd numbers plus the next even number is 56
So equation is
%282n-1%29%2B%282n%2B1%29%2B%282n%2B2%29=56
.
6n%2B2=56

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The first odd number is N, the next odd number would be N%2B2
N%2BN%2B2=56
2N%2B2=56
2N=56
N=27
Then
N%2B2=29
The two integers are 27 and 29.