SOLUTION: I know the answer (looked it up online), but don't understand how to go about getting it. Here is the question: The sum of 4 consecutive 3 digit numbers is 866. What are the 4

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Question 663819: I know the answer (looked it up online), but don't understand how to go about getting it. Here is the question:
The sum of 4 consecutive 3 digit numbers is 866. What are the 4 numbers? Explain your strategy.
Sad this is, this is my daughter's grade 6 homework, that I have no idea about!!!
Found 3 solutions by Alan3354, lwsshak3, ewatrrr:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The sum of 4 consecutive 3 digit numbers is 866. What are the 4 numbers? Explain your strategy.
-----------------------
866/4 = 216.5, the center
Two integers are less than 216.5, 2 or more.
--> 215, 216, 217 & 218
---------------------------
The hard way:
n + n+1 + n+2 + n+3 = 866
4n + 6 = 866
4n = 860
n = 215
--> same answer
Answer by lwsshak3(11628)   (Show Source): You can put this solution on YOUR website!
I know the answer (looked it up online), but don't understand how to go about getting it. Here is the question: The sum of 4 consecutive 3 digit numbers is 866. What are the 4 numbers? Explain your strategy
**
let x=1st consecutive number
x+1=2nd consecutive number
x+2=3rd consecutive number
x+3=4th consecutive number
They are all supposed to add up to 866
x+(x+1)+(x+2)+(x+3)=866
4x+6=866
4x=860
x=860/4
x=215
1st consecutive number=215
2nd consecutive number=216
3rd consecutive number=217
4th consecutive number=218
Its great 6th graders are learning this stuff. I did not learn this stuff until I was in high school.
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 

Hi,

The idea is consecutive numbers algebraically start with x and go Up one for each consecutive other. 

(regardless of the sizes of the numbers) That is to say the fact they are 3-digit numbers has nothing to do with the Set UP

 4 consecutive numbers:,,,

Question states*** 

 x + (x+1) + (x+2) + (x+3) = 866

      4x + 6 = 866

         4x = 860

          x = 215

the 4 numbers are 215, 216, 217, 218

and...

= 866 

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