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

 Feb 11, 2023
 #1
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Let's call the amount of money my brother currently has "x".

 

From the first statement, we know that after I give him 5 dollars, we will have the same amount of money, so x + 5 = x.

From the second statement, we know that after he gives me 12 dollars, I will have twice as much money as he will, so x + 12 = 2x.

 

Solving for x:

x + 5 = x x = 5

 

And then,

x + 12 = 2x 5 + 12 = 2x 17 = 2x x = 8.5

 

So my brother currently has 8.50 dollars.

 Feb 11, 2023
 #2
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Y==You,     B==Brother

 

Y - 5 ==B + 5,     

Y + 12==2[B - 12], solve for B, Y

 

Use substitution to get:

B==$46.00 - what your brother started with

Y ==$56.00 - what you started with

 

56 - 5 == 46 + 5 - when you gave your brother $5, then you both had:

    $51 == $51

 

56 + 12 ==46 - 12 - when your brother gave you $12, then you had:

    $68 ==$34 - you will have twice as much as your brother.

 Feb 11, 2023
 #4
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First, we assign variables

x = my brothers money

y = my money

 

Then

x + 5 = y - 5

x - 14 = 2y - 14

 

The solution is x = 8 and y = 18

 

So my brother has 8 dollars

 Feb 11, 2023

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