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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 25 dollars, then I'll have twice as much money as he will have. How much money does my brother currently have (in dollars)?

 Jul 10, 2023
 #1
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Let's set variables. You will be x, and your brother will be y.

 

x-5=y+5

x+25=2(y-25)

 

So, we can conclude:

x=y+10

x+25=2y-50

x=2y-25

y+10=2y-25

y=2y-15

y=15

 

So, your brother has $15.

 Jul 10, 2023
 #2
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Not bad, but a simple arithmetic mistake did you in.   

Actually, there are two mistakes, both subtraction.  

 

So, we can conclude:

x=y+10

x+25=2y-50

x=2y-25                              x  =  2y – 75  

y+10=2y-25               y + 10  =  2y – 75  

y=2y-15                             y  =  2y – 85  

y=15                                –y  =  –85   

                                          y  =  85   

 

So, your brother has $85.  

.

Bosco  Jul 10, 2023
 #3
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CharlieRogers  Jul 11, 2023
edited by CharlieRogers  Jul 21, 2023
edited by CharlieRogers  Jul 21, 2023

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