Problema 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 does she currently have (in dollars)?

Answer provided by our tutors

let


m = the money I currently have

s = the money my sister currently has


if I give my sister 17 dollars, then we will have the same amount of money


m - 17 = s + 17


if instead she gives me 23 dollars, then I'll have three times as much money as she has


m + 23 = 3(s - 23)


by solving the system of equations


m - 17 = s + 17

m + 23 = 3(s - 23)


we find


m = $97


s = $63


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my sister currently has $63.