SOLUTION: Find all the sets of three consecutive even integers whose sum is between 25 and 45.

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Question 13350: Find all the sets of three consecutive even integers whose sum is between 25 and 45.
Answer by bam878s(77) About Me  (Show Source):
You can put this solution on YOUR website!
we want 25 Now sum = x + (x+2) + (x+4)
= x+x+2+x+4
= 3x + 6
we have:
25<3x+6<45 subtract 6 from all sides
25-6<3x<45-6
19<3x<39 divide 3 from all sides
6.333333 so,
7<=x<13 would be the set of all integers but since we are dealing with evens 8<=x<=12