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?

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Question 295366: 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 ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Bob is one third the age of his father.
b = 1%2F3f
or
f = 3b
:
In 12 years he will be half the age of his father.
(b+12) = .5(f+12)
b + 12 = .5f + 6
b = .5f + 6 - 12
b = .5f - 6
Replace f with 3b
b = .5(3b) - 6
b = 1.5b - 6
b - 1.5b = - 6
-.5b = -6
Multiply both sides by -2
b = 12 yrs is Bob's age
then
f = 3(12)
f = 36 is Father's age
:
:
Check solution in the statement:
"In 12 years he will be half the age of his father."
12 + 12 = .5(36 + 12)