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.Com
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)   (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.
---------------
A + 10 = 2(B+10)
A - 5 = 3(B-5)
--------------------
Modify
A - 2B = 10
A - 3B = -10
---------
Subtract and solve for "B":
B = 20 yrs Bostyn's age now
----------------
A - 2B = 10
A - 40 = 10
A = 50 yrs (Ava's age now)
-----------
Cheers,
Stan H.
------------

RELATED QUESTIONS

Ten years from now, A will be twice as old as B. Five years ago, A was three times as old (answered by scott8148)
Ten years from now, A will be twice as old as B. Five years ago, A was three times as old (answered by radh,Earlsdon)
ten years from now, A will be twice as old as B. five years ago,A was three times as old... (answered by stanbon)
ten years from now,A will be twice as old B and five years ago,A was three times as old... (answered by josgarithmetic,mark_henrhiz)
a father is 27 years older than his son. Ten years from now the father will be twice as... (answered by Cromlix)
how could i make a system of equations (2) for this problem: sue is 4 years younger than... (answered by joyofmath)
Ten years from now, A will be twicw as old as B. Five years ago, A was three times as old (answered by stanbon)
Two years from now, Jim will be twice as old as Joe will be then. Ten years ago, Jim was... (answered by josmiceli)
ten years from now, Anna will be twice as old as Barbara. Five years ago, Anna was three... (answered by ankor@dixie-net.com)