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

Algebra ->  Customizable Word Problem Solvers  -> Age -> 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      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

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) About Me  (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
------------
Equations:
t-5 = (1/3)(f-5)
t+5 = (1/2)(f+5)
---------
Modify::
3t-15 = f-5
2t+10 = f+5
------
Subtract and solve for "t"::
t-25 = -10
Tom = 15 yrs (Tom's age now)
----
Solve for "f"::
f+5 = 2t+10
f+5 = 30+10
Father = 35 yrs (Father's age now)
----------
Cheers,
Stan H.
------------------