SOLUTION: Find three Consecutive Integers Such That The Sum Of the first two is greater than 27 and the sum of the last two is less than 39

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: Find three Consecutive Integers Such That The Sum Of the first two is greater than 27 and the sum of the last two is less than 39      Log On


   

Question 549832: Find three Consecutive Integers Such That The Sum Of the first two is greater than 27 and the sum of the last two is less than 39
Answer by mathie123(224) About Me  (Show Source):
You can put this solution on YOUR website!
Let's let n be the smallest integer, meaning n+1 is the middle one and n+2 is the largest.

From the question we can obtain the following inequalities:
n%2Bn%2B1%3E27
2n%3E27-1
2n%3E26
n%3E13

and
n%2B1%2Bn%2B2%3C39
2n%2B3%3C39
2n%3C39-3
2n%3C36
n%3C18
So it doesn't matter what our integers are as long as 13%3Cn%3C18 (so n is either 14 15 16 or 17) and from there we can get the other two integers.
_________________________________________________________________________
Hopefully this helps a bit!
Romans 5:8