SOLUTION: find all three sets of consecutive integers whose sum is less than 24 if the sum of the least and twice the next greater integer is twice the greatest integer

Question 1089088: find all three sets of consecutive integers whose sum is less than 24 if the sum of the least and twice the next greater integer is twice the greatest integer
Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
find all three sets of consecutive integers whose sum is less than 24
????????????
if the sum of the least and twice the next greater integer is twice the greatest integer
n + 2(n+1) = 2(n+2)
n + 2n + 2 = 2n + 4
n + 2n - 2n = 4 - 2
n = 2
then
2, 3, 4 are the three consecutive integers
Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!

find all three sets of consecutive integers whose sum is less than 24 if the sum of the least and twice the next greater integer is twice the greatest integer

First part of the sentence: "whose sum is less than 24" is TOTALLY, TOTALLY unnecessary!
RELATED QUESTIONS
Find all sets of three consecutive odd integers whose sum is at least 47 less than 4... (answered by robertb,mananth)
Find all sets of three consecutive positive odd integers whose sum is less than 20 but... (answered by checkley71)
Find all the sets of three consecutive even integers whose sum is between 25 and... (answered by bam878s)
find all sets of two consecutive positive odd integers with the sum that is at least 8... (answered by Edwin McCravy)
find all sets of three consecutive positive even integers whose sum is less than... (answered by solver91311,Edwin McCravy)
Finbd all sets of three consecutive positive odd integers whose sum is less than 20 but... (answered by edjones)
find all sets of 3 consecutive even integers whose sum is greater than 102 but less than... (answered by CubeyThePenguin)
Find all sets of three consecutive positive odd integers whose sum is less than 20 but... (answered by Fombitz)