SOLUTION: The sum of two numbers is equal to twice their difference. If one number is 4 more than the other, find the numbers. I did A=first # a=2nd # Then A+a=2(A-a) A=2a+4 but i

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Question 183408: The sum of two numbers is equal to twice their difference. If one number is 4 more than the other, find the numbers.
I did A=first # a=2nd #
Then A+a=2(A-a) A=2a+4
but it does not come out right.
Please help.
Anne

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Let x=first number, y=second number

"The sum of two numbers is equal to twice their difference" translates to Note: I'm implying that "x" is bigger than "y"


Also, " If one number is 4 more than the other" means that


Start with the first equation


Plug in


Combine like terms.


Multiply


Subtract 4 from both sides


Divide both sides by 2 to isolate y



Go back to the second equation


Plug in


Add


==================================

Answer:


So the solutions are and which means that the two numbers are 6 and 2

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