SOLUTION: write a system of equations for the following problem: ten years from now, Ava will be twice as old as bostyn. five years ago, Ava was three times as old as bostyn. what are the pr

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: write a system of equations for the following problem: ten years from now, Ava will be twice as old as bostyn. five years ago, Ava was three times as old as bostyn. what are the pr      Log On


   

Question 1065571: write a system of equations for the following problem: ten years from now, Ava will be twice as old as bostyn. five years ago, Ava was three times as old as bostyn. what are the presents age of each girl? then solve using substitution or elimination.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write a system of equations for the following problem: ten years from now, Ava will be twice as old as bostyn. five years ago, Ava was three times as old as bostyn. what are the presents age of each girl? then solve using substitution or elimination.
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A + 10 = 2(B+10)
A - 5 = 3(B-5)
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Modify
A - 2B = 10
A - 3B = -10
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Subtract and solve for "B":
B = 20 yrs Bostyn's age now
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A - 2B = 10
A - 40 = 10
A = 50 yrs (Ava's age now)
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Cheers,
Stan H.
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