SOLUTION: Find three consecutive odd integers such that twice the smallest plus three times the largest will will result in the middle integer plus 14.

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three consecutive odd integers such that twice the smallest plus three times the largest will will result in the middle integer plus 14.      Log On


   



Question 1051821: Find three consecutive odd integers such that twice the smallest plus three times the largest will will result in the middle integer plus 14.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let the 3 consecutive odd integers be:
+n+, +n+%2B+2+, and +n+%2B+4+
-----------------------------------
+2n+%2B+3%2A%28+n+%2B+4+%29+=+n+%2B+2+%2B+14+
+2n+%2B+3n+%2B+12+=+n+%2B+16+
+5n+-+n+=+4+
+4n+=+4+
+n+=+1+
and
+n%2B2+=+3+
+n+%2B+4+=+5+
The 3 consecutive odd integers are 1, 3, and 5
check:
+2n+%2B+3%2A%28+n+%2B+4+%29+=+n+%2B+2+%2B+14+
+2%2A1+%2B+3%2A%28+1+%2B+4+%29+=+1+%2B+2+%2B+14+
+2+%2B+3%2A5+=+17+
+2+%2B+15+=+17+
+17+=+17+
OK