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If I give my brother 5 dolalrs, then we will have the same amount of money.  If instead he gives me 14 dollars, then I'll have twice as much money as he will have.  How much money does my brother currently have (in dollars)?

 

 

\(\phantom{10 dollars}\)

 

 

 

\(\phantom{18 dollars}\)

 

\(\phantom{22 dollars}\)

 Jun 22, 2022
 #1
avatar+124676 
+1

Your money   = Y

Your Brother's  money  =  B

 

So.....

 

Y - 5 =  B + 5     →      Y  =  B + 10        (1)  

 

Y + 14  =  2 (B - 14)         (2)

 

Sub (1)  into (2)   for Y

 

 

(B + 10) + 14  = 2(B - 14)

 

B + 24  =  2B  - 28

 

24 + 28   =  B

 

52  = B        { Your brother has $52  }

 

 

cool cool cool

 Jun 22, 2022

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