SOLUTION: eight years ago, Mr. Fontana was six times as old as his son. In twelve years' time, he will be twice as old as his son. How old are they now?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: eight years ago, Mr. Fontana was six times as old as his son. In twelve years' time, he will be twice as old as his son. How old are they now?      Log On


   

Question 1006696: eight years ago, Mr. Fontana was six times as old as his son. In twelve years' time, he will be twice as old as his son. How old are they now?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
eight years ago, Mr. Fontana was six times as old as his son. In twelve years' time, he will be twice as old as his son. How old are they now?
--------
Equations:
F-8 = 6(s-8)
F+12 = 2(s+12)
-------
Rearrange::
F - 6s = -40
F - 2s = 12
----
Subtract and solve for "s":
4s = 52
s = 13 (son's age now)
-----
F = 2s + 12 = 38 (Father's age now)
----
Cheers,
Stan H.
---------