SOLUTION: five years ago Tom was one third as old as his father was one third as old as his father wa then. In 5 years Tom will be half as old as his father will be then. Find their ages now

Question 943825: five years ago Tom was one third as old as his father was one third as old as his father wa then. In 5 years Tom will be half as old as his father will be then. Find their ages now.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
five years ago Tom was one third as old as his father was then.
In 5 years Tom will be half as old as his father will be then.
Find their ages now
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Equations:
t-5 = (1/3)(f-5)
t+5 = (1/2)(f+5)
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Modify::
3t-15 = f-5
2t+10 = f+5
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Subtract and solve for "t"::
t-25 = -10
Tom = 15 yrs (Tom's age now)
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Solve for "f"::
f+5 = 2t+10
f+5 = 30+10
Father = 35 yrs (Father's age now)
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Cheers,
Stan H.
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