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

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Question 98559This question is from textbook Algeber and Trigonometry
: Finbd all sets of three consecutive positive odd integers whose sum is less than 20 but greater than 10 This question is from textbook Algeber and Trigonometry

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
let the integers be: x, x+2, x+4
10 10<3x+6<20
10<3x+6...4<3x...x<4/3
3x+6<20...3x<14...x<14/3
sinc we are dealing with integers that must be odd: 3<=x<=3 which means that the 1st integer can only be 3.
3+5+7=15 is the only possible sequence.
Ed