SOLUTION: The sum of two consecutive odd integers is 2216. What is the smallest integer

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Question 124263: The sum of two consecutive odd integers is 2216. What is the smallest integer
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!

Odd numbers:
n
the next n%2B2

The sum:
n+%2B+%28n%2B2%29+=+2216
2n+%2B2+=+2216
2n+=+2216+-+2
2n+=+2214+
n+=+2214%2F2+
n+=+1107+
=>…..n+%2B2+=+1109+
Check:
n+%2B+%28n%2B2%29+=+2216
1107+%2B+1109+=+2216
2216+=+2216