SOLUTION: the sum of three consecutive odd integers is less than 54. what is the set of the largest three consecutive odd integers that fits this situation?

Question 230046: the sum of three consecutive odd integers is less than 54. what is the set of the largest three consecutive odd integers that fits this situation?
Answer by chibisan(131) (Show Source): You can put this solution on YOUR website!
let the 1st consecutive odd integer : x
2nd would be x+2 (if x+1 will give you a even integer)
3rd would be x+4

x+x+2+x+4 < 54
3x+6<54
3x<48
x<16

x<16 so the largest integer of x would be 15

So the set of the largest three consecutive odd integers that fits this situation is 15,17,19.
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