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# Algebra

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

\(\phantom{20 dollars}\)

\(\phantom{12 dollars}\)

Jun 26, 2022

#1
+124676
+1

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

Y + 16  =  2 (B - 16)        (2)

Sub (1)  into (2)

( B  + 10) + 16 =  2 (B - 16)

B + 26  =  2B - 32              rearrange as

26 + 32  = 2B - B

58 = B