SOLUTION: Find four consecutive odd integers so that five times the sum of the first and third integers excceeds four times the sum of the second and last integers by 14.

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Question 629257: Find four consecutive odd integers so that five times the sum of the first and third integers excceeds four times the sum of the second and last integers by 14.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
If +n+ is the 1st odd integer, then the 4 integers are
+n+, +n+%2B+2+, +n+%2B+4+, and +n+%2B+6+
given:
+5%2A%28+n+%2B+n+%2B+4+%29+=+4%2A%28+n+%2B+2+%2B+n+%2B+6+%29++%2B+14+
+5%2A%28+2n+%2B+4+%29+=+4%2A%28+2n+%2B+8+%29+%2B+14+
+10n+%2B+20+=+8n+%2B+32+%2B+14+
+10n+-+8n+=+32+%2B+14+-+20+
+2n+=+26+
+n+=+13+
+n+%2B+2+=+15+
+n+%2B+4+=+17+
+n+%2B+6+=+19+
The 4 integers are 13, 15, 17, and 19