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If I give my brother $5$ dollars, then we will have the same amount of money. If instead he gives me $10$ dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

 
 Nov 5, 2024
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Lets say that the amount I currently have is x, and the amount my brother has is y.

We can set up the following equations:

 

\(x-5 = y+5\)

\(2(y-10) = x+10\)

 

Simplifying the system of equations, we get:

 

\(x=y+10 \\ 2y - 30 = x\)

 

Now, we can solve for y:

\(y+10=2y-30\\ -y=-40\\ y=40\)

 

Therefore, my brother currently has $40.

 Nov 6, 2024

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