SOLUTION: The sum of three consecutive numbers is 27.What are the three numbers?Show your work

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Question 859247: The sum of three consecutive numbers is 27.What are the three numbers?Show your work




Found 2 solutions by jim_thompson5910, Alan3354:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
x = first number

x+1 = next consecutive number after 'x'

x+2 = next consecutive number after 'x+1'



They add to 27, so,


x%2B%28x%2B1%29%2B%28x%2B2%29+=+27


x%2Bx%2B1%2Bx%2B2+=+27


3x%2B3+=+27


3x+=+27-3


3x+=+24


x+=+24%2F3


x+=+8


x%2B1=8%2B1=9


x%2B2=8%2B2=10


So,


x=8


x%2B1=9


x%2B2=10


The three numbers are: 8,9,10


Quick Check: 8+9+10 = 27, so that works out.

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of three consecutive numbers is 27.
--------
27/3 is the middle number.