SOLUTION: Find all sets of three consecutive positive odd integers whose sum is less than 20 but greater than 10

SOLUTION: Find all sets of three consecutive positive odd integers whose sum is less than 20 but greater than 10

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Question 98348: Find all sets of three consecutive positive odd integers whose sum is less than 20 but greater than 10
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
x+(x+2)+(x+4)>10
3x+6>10
3x>10-6
3x>4
x>4/3 or 1 1/3lower limit
x+(x+2)+(x+4)<20
3x+6<20
3x<20-6
3x<14
x<14/3 or 4 1/3
the only odd number between 1 1/3 & 4 1/3 is 3.
therefore the answer is 3,5 & 7.
proof
20<(3+5+7)>10
20<15>10
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