SOLUTION: Find all possible sets of three consecutive even integers whose sum is between 168 and 180.

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Question 221569: Find all possible sets of three consecutive even integers whose sum is between 168 and 180.
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
Let x,,,,x+2,,,,and,,,x+4 = consecutive even integers
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Sum = 3x +6
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168<=3x+6<=180,,,,,,subst 6
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162<= 3x<= 174,,,,,,,,,divide by 3
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54<=1x<=58
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check,,,(54),,,,,3x +6 = 168,,,,ok
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(58),,,,,3(58)+6 = 180,,,,,ok