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

Question

1788 views around the world

You can reuse this answer
Creative Commons License

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#