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We will have the same amount of money if I give my brother $5. Instead, if he offers me $25, I'll have twice as much cash as he does.
 

 Jul 13, 2023
 #1
avatar+674 
+1

 

We will have the same amount of money if I give my brother $5. Instead, if he offers me $25, I'll have twice as much cash as he does.  

 

Well........ if he only offers $25 nothing changes.  

He would have to actually hand over the $25.  

But I think I know what you mean.  

 

Let M stand for My original amount  

Let B stand for Brother's original amount   

 

                                                             (M – 5)  =  (B + 5)   

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

 

                                                              M – 5  =  B + 5   gives us  M = B + 10    (1)  

 

                                                              M + 25  =  2B – 50                                 (2)  

 

Substitute the value of M from (1)   

into the equation (2)                             B + 10 + 25  =  2B – 50   

 

Combine like terms                                          85  =  B    

 

Brother has 85 dollars before they start swapping moneys.   

 

My amount is 95 dollars   

 

Check answer  

 

If I give my brother 5, then I'll have 90 and so will he, so we have the same.  

If my brother gives me 25, then I'll have 120 and my brother will have 60.  

.

 Jul 13, 2023
 #2
avatar+2 
0

Thank you for answering, you saved my day :)

 Jul 18, 2023

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