SOLUTION: three years ago, jeffrey was twice as old as michael is now. in nine years, jeffrey will be four times as old as michael is now. what are jeffrey"s and michael's current ages?

Question 466744: three years ago, jeffrey was twice as old as michael is now. in nine years, jeffrey will be four times as old as michael is now. what are jeffrey"s and michael's current ages?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
three years ago, jeffrey was twice as old as michael is now.
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Equations:
j-3 = 2(m-3)
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In nine years, jeffrey will be four times as old as michael is now.
j+9 = 4m
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Rearrange the equations:
j= 4m-9
j = 2m-3
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Solve using substitution:
4m-9 = 2m -3
2m = 6
m = 3 (michael's age now)
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Solve for "j":
j = 2m-3
j = 2*3-3
j = 3
what are jeffrey"s and michael's current ages?
They are both 3 yrs old.
Cheers,
Stan H.
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