SOLUTION: find 3 consecutive odd integers such that the sum of four times the smallest integer and three times the largest integer is 159.

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Question 529346: find 3 consecutive odd integers such that the sum of four times the smallest integer and three times the largest integer is 159.
Found 2 solutions by josmiceli, oberobic:
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+3%2A%28n+%2B+4%29+=+159+
+4n+%2B+3n+%2B+12+=+159+
+7n+=+147+
+n+=+21+
+n+%2B+2+=+23+
+n+%2B+4+=+25+
The numbers are 21, 23, and 25

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
The consecutive odd integers can be defined as:
x
x+2
x+4
.
4x + 3(x+4) = 159
.
4x + 3x +12 = 159
.
7x = 147
.
x = 21
.
x+2 = 23
.
x+4 = 25
.
Done.