Question 185533: Cant figure this out. Help Please! :)
The apartments in Kellys apartment house are numbered consecutively on each floor. The sum of his number and his next door neighbors number is 1419. What are the two numbers>?
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! Remember, consecutive numbers follow the form: x, x+1, x+2, etc...
So for example, the numbers 1, 2, 3, 4, and 5 are consecutive numbers
So because "The apartments in Kellys apartment house are numbered consecutively on each floor", this means that Kelly's apartment number is either one more or one less than her neighbors.
Let's make x = Kelly's number
and let's make her neighbor be one more, which means that x+1=neighbor's number
Now since "The sum of his number and his next door neighbors number is 1419", this tells us that
Kelly's Number + Neighbor's Number = 1419
which also looks like
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Now let's solve for "x":
Start with the given equation.
 Combine like terms.
 Subtract  from both sides.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
 Reduce.
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Answer:
So the answer is
This means that Kelly's house number is 709 and her neighbor's is 710
Check:
709+710=1419
1419=1419 ... works
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