A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
The sum of three consecutive even integers is 24. Find the integers.
anonymous
 5 years ago
The sum of three consecutive even integers is 24. Find the integers.

This Question is Closed

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0The same idea spoyled. Why don't you give it a try first? :D

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0I dont understand this at all. Hoping to look at these and try to comprehend. These are all my practice exercises.

watchmath
 5 years ago
Best ResponseYou've already chosen the best response.0Ok, if the smallest number among the three is \(n\). Then the next even number is \(n+2\) and the next after that is \(n+2+2=n+4\). So the sum of these three even numbers is \(n+(n+2)+(n+4)=3n+6\) we want this sum to be equal to 24. So \(3n+6=24\) \(3n=30\) \(n=10\) So the next two even numbers are 8, 6. Thus 10,8,6 are the answers.

radar
 5 years ago
Best ResponseYou've already chosen the best response.1Les 2x = 1st integer 2x + 2 = 2nd 2x+4 = 3rd even integer the sum is 24 so 2x+2x+2+2x+4=24 6x=246=30 x=5 2x=10 2x+2=8 2x+4=6 Making first digit equal 2x assures it is even. the next one is also even so it is 2x+2

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0thank you and that helps to understand process little better
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.