Mathematics
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OpenStudy (anonymous):
Medal
Find three consecutive odd integers whose sum is 75.
Write your answers in ascending order.
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OpenStudy (freckles):
let n be an an odd integer
the very next odd integer would be n+2 since n+1 is even
and the next one after that would be n+4 since n+3 is even
OpenStudy (freckles):
so let n,n+2, and n+4 be your three odd conseutive integers
OpenStudy (freckles):
add them up and set it's sum to 75
OpenStudy (anonymous):
what are the odd integers
OpenStudy (freckles):
n,n+2, and n+4
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OpenStudy (anonymous):
isnt 2 an even number?
OpenStudy (freckles):
2 is an even number yes
but what does that have to do with our numbers n,n+2,and n+4
where n is odd
OpenStudy (anonymous):
okay thank you
OpenStudy (freckles):
n+(n+2)+(n+4)=75
solve for n
OpenStudy (freckles):
then find
n+2
then find
n+4
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OpenStudy (anonymous):
i dont understand how we solve
OpenStudy (freckles):
do you know how to combine like terms yet?
OpenStudy (freckles):
n+n+n=?
2+4=?
OpenStudy (anonymous):
yes
OpenStudy (anonymous):
6
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OpenStudy (freckles):
and n+n+n=?
OpenStudy (anonymous):
3n
OpenStudy (freckles):
n+(n+2)+(n+4)=75
(n+n+n)+(2+4)=75
3n + 6 =75
3n+6=75
can you finish solving?
are you haven't solve linear equations yet?
OpenStudy (anonymous):
3n = 69
OpenStudy (anonymous):
23
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OpenStudy (freckles):
so n=23
so n+2 is?
OpenStudy (anonymous):
25
OpenStudy (freckles):
and n+4 is?
OpenStudy (anonymous):
27
OpenStudy (anonymous):
23,25,27
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OpenStudy (freckles):
and can't you agree that 23,25,27 are odd consecutive integers whose sum is 75?
OpenStudy (anonymous):
yes i agree
OpenStudy (anonymous):
thank you soo much
OpenStudy (freckles):
np