SOLUTION: This is a problem from my math text. Find all sets of three consecutive multiples of 3 whose sum is between -134 and -109. This is how I set it up: -134

SOLUTION: This is a problem from my math text. Find all sets of three consecutive multiples of 3 whose sum is between -134 and -109. This is how I set it up: -134 < 3n + 3(n+1) + 3(n

Question 250147: This is a problem from my math text.
Find all sets of three consecutive multiples of 3 whose sum is between -134 and -109.
This is how I set it up:
-134 < 3n + 3(n+1) + 3(n+2) < -109
But it can't be right because the solution is very messy. Can you set this up for me?
Thanks!
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
I am not sure I know how to do this mathematically but your three consecutive multiples of three have to be n, n+3 and n+6
So that we have -134>3n+9<-109
33+36+39=108 too low
36+39+42=117 lowest triplet
39+42+45=126 highest triplet
42+45+48=135 too high

RELATED QUESTIONS
find all sets of three consecutive multiples of 4 whose sum is between 72 and... (answered by htmentor)

Find all the sets of three consecutive even integers whose sum is between 25 and... (answered by bam878s)

Find all sets of three consecutive odd integers whose sum is between 20 and... (answered by ConfusedGal)

Find all possible sets of three consecutive even integers whose sum is between 168 and... (answered by RAY100)

Find all sets of three consecutive even integers whose sum is between 45 and... (answered by palanisamy)

Find all sets of three consecutive odd integers whose sum is between 20 and... (answered by Edwin McCravy)

please find all sets of three. odd consecutive integers whose sum is between 20 and... (answered by stanbon)

Find all sets of 3 consecutive integers whose sum is between 95 and 115. (answered by MathLover1)

Find all sets of three consecutive multiples of 6 whose sum is between -6 and 50. I did... (answered by checkley71)