Three consecutive odd integers have a sum of 39. What are the numbers?

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Answer 1 · 2016-12-12T02:30:15

The three integers are #11#, #13#, and #15#.

We shall consider the integers as #x#, #(x+2)#, and #(x+4)#. The sum of these is #39#, so we can write:

#x+(x+2)+(x+4)=39#

Open the brackets and simplify.

#x+x+2+x+4=39#

#3x+6=39#

Subtract #6# from each side.

#3x=33#

Divide both sides by #3#.

#x=11#

Therefore: #(x+2)=13# and #(x+4)=15#