The sum of three consecutive odd integers is 183. How do you find the middle of these numbers?

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Answer 1 · 2018-06-05T22:55:20

I got #61#

Let us call our odd numbers:

#2n+1#
#2n+3#
#2n+5#

our condition gives us:

#2n+1+2n+3+2n+5=183#

rearrange:

#6n=183-9#

so:

#n=174/6=29#

our middle number will be:

#2n+3=2*29+3=61#