SOLUTION: One apt. is directly above second apt. Downstairs resident calls his upstairs neighbor and says;"If one of you is willing to come downstairs, we'll have the same number of people i

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Question 105651: One apt. is directly above second apt. Downstairs resident calls his upstairs neighbor and says;"If one of you is willing to come downstairs, we'll have the same number of people in both apts." His neighbor responded with; "Why don't one of you come up? Then we,ll have twice as many people up here as you have down there." How many people in each apt? I know the answers, but am having trouble setting it up into a system of linear equations. Can somebody please help me? Thank you so much in advance.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
If one of you is willing to come downstairs, we'll have the same number of people in both apts
... D+1=U-1

Why don't one of you come up? Then we'll have twice as many people up here as you have down there
... 2(D-1)=U+1