the numbers on two consecutively numbered gym lockers have a sum of 135. what are the locker numbers?
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OpenStudy (welshfella):
n + (n + 1) = 135
solve for n
OpenStudy (pphalke):
how do i do that
OpenStudy (photon336):
Consecutive means that each term is increased by one.
so two consecutive numbers, just a fancy way of saying 1 more than.
the first number would be n
the second would be n+1
these two are consecutive because they differ by 1.
so the sum
n+(n+1) = 135
OpenStudy (photon336):
@pphalke
OpenStudy (pphalke):
how do i solve this @Photon336
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OpenStudy (photon336):
can you try to do it first then ill guide you
OpenStudy (photon336):
you need to combine like terms.
n+n+1 = 135
OpenStudy (pphalke):
2n+1=135
OpenStudy (pphalke):
then i subtract from 1 and get 134
OpenStudy (welshfella):
ok now subtract 1 from both sides
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OpenStudy (welshfella):
yea
now divide both sides by 2
OpenStudy (pphalke):
n equals 67
OpenStudy (welshfella):
correct
OpenStudy (pphalke):
the locker numbers are 67 and 68
OpenStudy (welshfella):
so thats the first locker number . What's the one next to it?
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