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

 Jul 24, 2022
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+1

Y = your money

B = your brother's money

 

Initially   Y =  B

 

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

 

Y + 14  =  2 (B - 14)        (2)

 

 

Sub (1)  into (2)

 

( B  + 10) + 14 =  2 (B - 14)

 

B + 24  =  2B - 28              rearrange as

 

24 + 28  = 2B - B

 

52 = B

 

Your brother has $52

 

cool cool cool

 Jul 24, 2022
edited by CPhill  Jul 24, 2022

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