SOLUTION: Three consecutive odd integers are such that the sum of four times the first and the second is three times the third.

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Question 570229: Three consecutive odd integers are such that the sum of four times the first and the second is three times the third.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive odd integers be
+n+, +n+%2B+2+, and +n+%2B+4+
given:
+4n+%2B+n+%2B+2+=+3%2A%28+n+%2B+4+%29+
+5n+%2B+2+=+3n+%2B+12+
+2n+=+10+
+n+=+5+
+n+%2B+2+=+7+
+n+%2B+4+=+9+
The integers are 5, 7, and 9
check:
+4n+%2B+n+%2B+2+=+3%2A%28+n+%2B+4+%29+
+4%2A5+%2B+5+%2B+2+=+3%2A%28+5+%2B+4+%29+
+20+%2B+7+=+3%2A9+
+27+=+27+
OK