SOLUTION: there are three consecutive odd integers, and the sum of the smaller number is 49 less than 3 times the largest integer.

Algebra ->  Customizable Word Problem Solvers  -> Numbers -> SOLUTION: there are three consecutive odd integers, and the sum of the smaller number is 49 less than 3 times the largest integer.       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 589675: there are three consecutive odd integers, and the sum of the smaller number is 49 less than 3 times the largest integer.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Call the consecutive odd integers
+n+, +n+%2B+2+, and +n+%2B+4+
given:
+n+%2B+n+%2B+2+=+3%2A%28+n+%2B+4+%29+-+49+
+2n+%2B+2+=+3n+%2B+12+-+49+
+3n+-+2n+=+49+-+12+%2B+2+
+n+=+51+-+12+
+n+=+39+
+n+%2B+2+=+41+
+n+%2B+4+=+43+
The consecutive odd integers are 39, 41, and 43
check:
+3%2A43+=+129+
+3%2A43+-+49+=+80+
+39+%2B+41+=+80+
OK