SOLUTION: please let me know if I setup this problem correctly. The sum of three consecutive even integers is less than or equal to 126. Find the greatest values of the integers. X+y+z

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Question 109655This question is from textbook
: please let me know if I setup this problem correctly.
The sum of three consecutive even integers is less than or equal to 126. Find the greatest values of the integers.
X+y+z_<126. Answer-- X<40, y<42, z<44
This question is from textbook

Found 2 solutions by checkley71, MathLover1:
Answer by checkley71(8403) (Show Source):
You can put this solution on YOUR website!
X+X+2+X+4<=126
3X+6<=126
3X<=126-6
3X<=120
X<=120/3
X<=40 ANSWER FOR THE SMALLER NUMBER.
40+2=42
40+4=44

Answer by MathLover1(3376) (Show Source):
You can put this solution on YOUR website!

let be consecutive even integer
be consecutive even interger
be consecutive even integer
then:

........move to the right

.....divide both sides by
........ consecutive even integer
....... consecutive even interger
......... consecutive even interger