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)?
20dollars
12dollars
Y = your money
B = your brother's money
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
Your brother has $58
