A community for students.
Here's the question you clicked on:
 0 viewing
kaiteDID
 2 years ago
Use the three steps to solve the problem.
The sum of 3 consecutive integral numbers is 117. Find the numbers.
kaiteDID
 2 years ago
Use the three steps to solve the problem. The sum of 3 consecutive integral numbers is 117. Find the numbers.

This Question is Closed

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1"Use the three steps to solve the problem." What 3 steps do they want you to use? c:

kaiteDID
 2 years ago
Best ResponseYou've already chosen the best response.0Step 1: Let x = small number. Then from the first sentence, 4x = large number. Step 1 is complete as the two quantities to be found are assigned variables. Step 2: The second sentence states conditions placed on the quantities: "their sum is 45." So, x + 4x = 45. Step 3: Solve x + 4x = 45. 5x = 45 x = 9(small number) 4x = 36(large number) The solution set to this number problem is {9, 36}.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1Oh, so algebraically :) with x n stuff. Hmm ok.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1So if we let the smallest of the 3 numbers be X, SINCE they are consecutive (one number right after the next), We can write the number AFTER X as (X+1) and the number after that as (X+2) Does that part make sense? :)

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1if x = 20 20+1= x + 1 Which is the next number in the sequence :D we're doing that type of thing.

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1uh oh kaite still confused? c: These x's messin with yer head? :D

kaiteDID
 2 years ago
Best ResponseYou've already chosen the best response.0:D it sure is i hate math

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1Step 2, hmm so we recognize the conditions placed on our quantities. "the sum is 117". So if X= a number. (let's say ummm 37 how bout.) Then we can write 38 (the next number after 37) 37+1 = x+1 And we can write 39 (the number after 38) 37+2 = x+2 So the sum of our 3 numbers will be, 37+38+39=117 37 + (37+1) + (37+2) = 117 x + (x+1) + (x+2) = 117 Add up the x's 3x + 3 = 117 Then solve for x! Normally you wouldn't know that 37 38 and 39 are your numbers ahead of time. But I'm trying to keep it simple so you can maybe grasp this concept <:o

kaiteDID
 2 years ago
Best ResponseYou've already chosen the best response.0actually that only equals 114 so would't it be 38 39 40

zepdrix
 2 years ago
Best ResponseYou've already chosen the best response.1Oh appearantly it was 38, 39 and 40! ah sorry bout that! XD
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.