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Three consecutive odd integers have a sum of 3. What are the numbers?

1 Answer

May 10, 2018

#color(blue)(-1,1,3)#

Explanation:

Let #n# be any integer:

Then #2n# is an even integer and #2n+1# is an odd integer.

Three consecutive odd integers:

#(2n+1) +(2n+3) +(2n+5)=3#

#6n+9=3#

#6n=-6#

#n=-1#

The numbers are:

#2(-1)+1=-1#

#2(-1)+3=1#

#2(-1)+5=3#

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