SOLUTION: If I give my sister 17 dollars, then we will have the same amount of money. If instead she gives me 23 dollars, then I'll have three times as much money as she has. How much money

Question 761836: If I give my sister 17 dollars, then we will have the same amount of money. If instead she gives me 23 dollars, then I'll have three times as much money as she has. How much money does she currently have (in dollars)?
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
If I give my sister 17 dollars, then we will have the same amount
of money.
f instead she gives me 23 dollars, then I'll have three times as
much money as she has.
How much money does she currently have (in dollars)?
:
Let a = amt you have
Let b = amt sister has
:
"If I give my sister 17 dollars, then we will have the same amount"
a - 17 = b + 17
a = b + 17 + 17
a = b + 34
:
"she gives me 23 dollars, then I'll have three times as much money"
3(b - 23) = a + 23
3b - 69 = a + 23
3b = a + 23 + 69
3b = a + 92
replace a with (b+34)
3b = b + 34 + 92
3b - b = 126
2b = 126
b = 126/2
b = $63 original amt of your sister
:
:
Check this; find your amt
a = 63 + 34
a = $97 your original amt
Your sister give you 23, you have 120
She has 63 - 23 = 40 which is 1/3 of 120
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