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.Com
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) (Show Source): You can put this solution on YOUR website!
Bob is one third the age of his father.
b = f
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)
RELATED QUESTIONS
Bob is one third the age of his father. In 12 years he will be half the age of his... (answered by jorel1380)
Bob is one third the age of his father. In 12 years he will be half the age of his... (answered by stanbon)
Bob is one third the age of his father. In 12 years he will be half the age of his... (answered by Mathpassionate)
Please help me solve this equation by using substitution, Bob is one third of the age of... (answered by scott8148)
I need the process to solve this problem:
Bob is one third the age of his father. In... (answered by ankor@dixie-net.com)
Bob is one third the age of his father. In 12 years he will be half the age of his... (answered by mananth)
if bob is one third the age of his dad. in 12 years he will be half his age how old are... (answered by ankor@dixie-net.com)
jake is now one-quarter of his father age and in 7 years time his age he will be... (answered by ankor@dixie-net.com)
A boy is now one-third as old as his father
Twelve years hence he will be half as old as
(answered by lwsshak3,clettol)