Three consecutive odd numbers total -144. What are the three numbers?

1 Answer
Feb 15, 2018

Well... mostly these kind of questions are given with a positive number and not a negative... but let's just do it
The question marks that they are three consecutive odd numbers....
Lettuce take the mid odd number to be #x#
Then the smallest odd number would be #x-2#
Then the largest odd number would be #x+2#
Now put all these in one equation
#x-cancel2+x+x+cancel2=-104#
#3x=-104#
#x=-104/3#
#color(red)(x=-34.bar6#

Then
#color(red)(x-2=-34.bar6-2=>x-2=36.bar6#

Then
#color(red)(x+2=-34.bar6+2=>32.bar6#

The numbers are
#-34.bar6#
#-32.bar6#
#-36.bar6#
Only if the question asked for negative... it you asked for positive #104#... then all the three numbers would be positive