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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)?

 May 6, 2023
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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)?

 

 

This makes the third time I've answered this.  

 

Set it up as follows                                        Call me M and call my brother B.  

 

                                                                        (M – 5)  =  (B + 5)              (eq 1)  

 

                                                                      (M + 25)  =  2*(B – 25)         (eq 2)  

Solve for B  

 

Subtract eq 2 from eq 1                                        –30  =  –B + 55  

 

                                                                               –B  =  –85  

 

                                                                                 B  =  85  

.

 May 7, 2023

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