SOLUTION: Solving Problems involving Inequalities The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum.

Question 664172: Solving Problems involving Inequalities
The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum.
Found 2 solutions by pv=nrt15rcks, MathTherapy:
Answer by pv=nrt15rcks(23) (Show Source): You can put this solution on YOUR website!
What are the largest 2 whole numbers that are consecutive (i.e.1,2; 56,57) that can add up to 180? The largest I got was 89 and 90. Think about why.
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
Solving Problems involving Inequalities
The sum of two consecutive even integers is at most 180. Find the pair of integers with the greatest sum.

Let the smaller of the two integers be S

Then larger = S + 2

We now have:

, or

Now, since , S CANNOT be 89 since we're looking for two EVEN integers. Therefore, the largest EVEN integer < 89 is 88, which makes the larger EVEN integer, 90.

Pair of EVEN integers with greatest sum = , which results in a sum of 178.

Send comments and �thank-yous� to �D� at MathMadEzy@aol.com
RELATED QUESTIONS
The sum of two consecutive even integers is at most 180. Find the pair of integers with... (answered by richard1234)
The sum of two consecutive positive even integers is at most nine. What are the possible (answered by robertb)
Hi. I am having complications solving two word problems involving inequalities. Please... (answered by ankor@dixie-net.com)
The sum of two consecutive positive even integers is at most 6. What is the greater... (answered by nabla)
The sum of two consecutive integers is at most 81. Find the pair of integers with the... (answered by MathLover1)
The sum of two consecutive odd integers is at most 123. Find the pair with the greatest... (answered by josmiceli)
the sum of two consecutive odd integers is at most 123. find the pair with the greatest... (answered by Alan3354)
My question is off a worksheet that if called Solving problems involving inequalities. It (answered by checkley75,stanbon)
If the product of two consecutive even integers is increased by lesser integer, the... (answered by greenestamps)