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

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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) About Me  (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) About Me  (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!