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) About Me  (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
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The hard way:
n + n+1 + n+2 + n+3 = 866
4n + 6 = 866
4n = 860
n = 215
--> same answer

Answer by lwsshak3(11628) About Me  (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) About Me  (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:highlight%28x%29,highlight%28x%2B1%29,highlight%28x%2B2%29,highlight%28x%2B3%29
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...
215%2B+216%2B+217%2B+218= 866