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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)?

 Jun 27, 2023
 #1
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Let's assume that your current amount of money is represented by the variable "x" dollars. We'll use algebra to solve the problem based on the given conditions.

Condition 1: If you give your brother 5 dollars, then you both have the same amount of money. After giving your brother 5 dollars, your amount of money becomes x - 5 dollars, and your brother's amount of money becomes x + 5 dollars.

Condition 2: If your brother gives you 25 dollars, then you have twice as much money as he does. After your brother gives you 25 dollars, your amount of money becomes x + 25 dollars, and your brother's amount of money becomes x - 25 dollars.

Based on the given conditions, we can set up two equations:

Equation 1: x - 5 = x + 5 Equation 2: x + 25 = 2(x - 25)

Solving Equation 1: x - 5 = x + 5 Subtracting x from both sides: -5 = 5

Equation 1 is inconsistent and cannot be solved. This means that the given conditions are contradictory, and there is no solution that satisfies both conditions simultaneously.

Therefore, based on the information provided, we cannot determine the current amount of money your brother has.

Regenerate response

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 Jun 28, 2023
 #2
avatar+131 
+1

NOT Solvable is not correct guest.

SportzGuy2310  Jun 28, 2023
edited by SportzGuy2310  Jun 29, 2023
 #3
avatar+131 
+1

 

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)?   

 

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 giving each other money.   

 

The problem doesn't ask for My original amount but it's B + 10 = 95  

 

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. 

 Jun 29, 2023

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