SOLUTION: One third the sum of two consecutive odd integers is five less than the smaller integer. Find both integers.

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Question 304687: One third the sum of two consecutive odd integers is five less than the smaller integer. Find both integers.
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
%281%2F3%29%28a%2Bb%29+=+a-5
a%2Bb+=+3%28a-5%29
a%2Bb+=+3a+-+15
b+%2B+15+=+2a
But a and b are consecutive odds numbers. So a%2B2+=+b
b+%2B+15+=+2a
%28a%2B2%29+%2B+15++=+2a
a+%2B+17+=+2a
17+=+a
So b must be 19
Check your answer
Does (1/3)(17+19) = 17-5 ???