SOLUTION: The sum of two consecutive odd numbers plus the next even number is 200. What is the algebraic equation used for solving this problem? Then what is the even number?

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Question 460536: The sum of two consecutive odd numbers plus the next even number is 200. What is the algebraic equation used for solving this problem? Then what is the even number?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the 1st odd number n
The next consecutive odd number
will be +n%2B2+
The next even number will be +n%2B3+
given:
+n+%2B+n+%2B+2+%2B+n+%2B+3+=+200+
+3n+%2B+5+=+200+
+3n+=+195+
+n+=+65+
+n+%2B+2+=+67+
+n+%2B+3+=+68+
The even number is 68