SOLUTION: a boy's age is one third of his father's age. In ten years the son's age will be three less than half the father's age. Find the age of each. B= boys age F= fathers age I fou

Algebra.Com
Question 907097: a boy's age is one third of his father's age. In ten years the son's age will be three less than half the father's age. Find the age of each.
B= boys age
F= fathers age
I found the variables to equal:
3b= f
B=1/3F
My equation was
10+b=1/2f-3

Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = father's age now
Let = son's age now
= father's age in 10 yrs
= son's age in 10 yrs
--------------------------------
(1)
(2)
---------------------------------
(2)
(2)
(2)
and
(1)
Substitute (1) into (2)
(2)
(2)
and
(1)
(1)
-----------------
The father is 48
The son is 16
---------------
check:
(2)
(2)
(2)
(2)
(2)
OK

RELATED QUESTIONS

Father’s age is 1 more than five times the son’s age. After 3 years, father’s age will be (answered by ewatrrr)
A father is 4 times his son’s age and in 30 years, son’s age will be half of his father’s (answered by ankor@dixie-net.com)
if Michael is 9 years old and his father is 32, in how many years will Michael’s age be... (answered by ankor@dixie-net.com)
.A father is twice as old as his son. 20 years ago, the age of the father was 12 times... (answered by josgarithmetic)
g. Penny’s age is one third her father’s age and in 13 years time her age will be half of (answered by stanbon)
Vijay’s age is one-third of his father’s age minus 5 years. If his age is 7 years, his... (answered by Cromlix)
In 17 years a father will be twice as old as his son, whose age at the present time is... (answered by josmiceli)
The ratio of a boy’s age to his father’s age is 1 : 4. In 4 years’ time, the ratio of... (answered by mananth,josmiceli)
A father is five years more than four times his son`s age, in five years he will be three (answered by College Student)
In three more years, Danny’s father will be 2 times as old as Danny was last year. When (answered by josmiceli)