SOLUTION: find three consecutive odd integers such that 19 more than the first is 67 less than three times the last.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: find three consecutive odd integers such that 19 more than the first is 67 less than three times the last.      Log On


   



Question 1095225: find three consecutive odd integers such that 19 more than the first is 67 less than three times the last.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the consecutive odd integers be:
+n+, +n%2B2+, and +n+%2B+4+
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+n+%2B+19+=+3%2A%28+n+%2B+4+%29+-+67+
+n+%2B+19+=+3n+%2B+12+-+67+
+2n+=+19+%2B+67+-+12+
+2n+=+74+
+n+=+37+
and
+n%2B2+=+39+
and
+n+%2B+4+=+41+
------------------
The numbers are 37, 39, and 41
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check:
+n+%2B+19+=+3%2A%28+n+%2B+4%29+-+67+
+37+%2B+19+=+3%2A41+-+67+
+56+=+123+-+67+
+56+=+56+
OK