SOLUTION: Bob is one third the age of his father. In 12 years he will be half the age of his father. How old is each now?

Algebra ->  Customizable Word Problem Solvers  -> Age -> SOLUTION: Bob is one third the age of his father. In 12 years he will be half the age of his father. How old is each now?      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 484788: Bob is one third the age of his father. In 12 years he will be half the age of his father. How old is each now?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Bob is one third the age of his father. In 12 years he will be half the age of his father. How old is each now?
---
Equations:
b = (1/3)f
(b+12) = (1/2)(f+12)
------
Substitute for "b" and solve for "f":
(1/3)f + 12 = (1/2)f + 6
---
[(1/2)-(1/3)]f = 6
(1/6)f = 6
f = 36 yrs (father's age now)
---
b = (1/3)f = 12 yrs (Bob's age now)
==============
Cheers,
Stan H.
==============