SOLUTION: The smallest of three consecutive numbers is x. their sum is greater than 80 but less than 100. Find the range of values of x.

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Question 1083826: The smallest of three consecutive numbers is x. their sum is greater than 80 but less than 100. Find the range of values of x.

Found 2 solutions by rothauserc, Alan3354:
Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website!
the three consecutive integers are x, x+1, x+2
:
80 < x +x+1 +x+2 < 100
:
80 < 3x + 3 < 100
:
77 < 3x < 97
:
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26 < x < 33
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:

Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website!
The smallest of three consecutive numbers is x. their sum is greater than 80 but less than 100. Find the range of values of x.
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80 < x + x+1 + x+2 < 100
80 < 3x+3 < 100
77 < 3x < 97
77/3 < x < 97/3
For integers:
26 < x < 32
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PS 33 won't work.