Mathematics
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OpenStudy (anonymous):
Three consecutive integers have a sum of 87 .. What are the integers ?!
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undeadknight26 (undeadknight26):
The options are endless...Any answer choices?
OpenStudy (anonymous):
No...
OpenStudy (freckles):
Let n-1 be an integer.
The next integer is n.
The next integer after that would be n+1.
so just solve the equation:
(n-1)+n+(n+1)=87
undeadknight26 (undeadknight26):
What he said xD
Any questions?
OpenStudy (anonymous):
I get 2n^3=86 then what?
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OpenStudy (freckles):
oh mine how did you get that
undeadknight26 (undeadknight26):
Did you tell her to divide 86 into 3 first THEN do this?
OpenStudy (freckles):
how many n's do you see here
n, n , n?
OpenStudy (anonymous):
3..
OpenStudy (freckles):
n+n+n=3n
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OpenStudy (freckles):
-1+1=0
OpenStudy (freckles):
\[(n-1)+n+(n+1)=87 \\(n+n+n)+(-1+1)=87 \\ 3n+0=87 \\ 3n=87\]
OpenStudy (freckles):
n+n+n=3n
just like
4+4+4=3(4) or 12
OpenStudy (anonymous):
So answer is 29..30..31?
OpenStudy (freckles):
3n=87
gives n=29
n-1=?
n+1=?
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OpenStudy (anonymous):
28,29,30
OpenStudy (freckles):
put n to be 29
these questions I just asked you are equivalent to:
n-1=29-1=28
n+1=29+1=30
yes
28+29+30=87
OpenStudy (freckles):
yep we had to find the number before and after 29
since we used (n-1) and n and (n+1) to be are integer
where n we found to be 29
OpenStudy (anonymous):
Thank you .. Can u stick around and help me with some other problems?
OpenStudy (freckles):
I can probably help with one more
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OpenStudy (anonymous):
Write 7/3 as a mixed number
OpenStudy (anonymous):
How do I start?
OpenStudy (freckles):
how many times does 3 go into 7?
or how many 3's are in 7?
OpenStudy (anonymous):
2.3
OpenStudy (freckles):
7=3+3+1
how many 3's do you see?
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OpenStudy (anonymous):
2
OpenStudy (freckles):
right
so far we have:
\[\frac{7}{3}=2 \frac{?}{3}\]
OpenStudy (freckles):
the question mark is the remainder
OpenStudy (anonymous):
1
OpenStudy (freckles):
7=3+3+1
right that 1 right there was left over
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OpenStudy (freckles):
so the question mark is 1
OpenStudy (anonymous):
Thank you!
OpenStudy (freckles):
np