SOLUTION: Five times the first of consecutive odd integers is five more than the product of four and the third integer. Find the integers.

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Question 902136: Five times the first of consecutive odd integers is five more than the product of four and the third integer. Find the integers.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Are they three consecutive odd integers? If so:
Let +n+ = smallest integer
+n+%2B+2+ = next higher integer
+n+%2B+4++= 3rd higher integer
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+5n+=+4%2A%28+n+%2B+4+%29+%2B+5+
+5n+=+4n+%2B+16+%2B+5+
+n+=+21+
+n+%2B+2+=+23+
+n+%2B+4+=+25+
The numbers are 21, 23, and 25
check:
+5n+=+4%2A%28+n+%2B+4+%29+%2B+5+
+5%2A21+=+4%2A%28+25+%29+%2B+5+
+105+=+100+%2B+5+
+105+=+105+
OK