SOLUTION: THere was a young boy and girl who worked in the market. When the boy was born, the young girl was a quarter of the age of the butcher, Tony. The young girl is currently a third of

Question 849149: THere was a young boy and girl who worked in the market. When the boy was born, the young girl was a quarter of the age of the butcher, Tony. The young girl is currently a third of the age of Gary, who is a chicken farmer. The young boy is a quarter of Tony's age. In four years he will be a quarter of Gary's age at that time. How old is the boy?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Wow! Wasn't that the cast of "Green Acres" ?
Let = the Boy's age now
Let = the young girl's age now
Let = Tony's age now
Let = Gary's age now
------------------------------
(1)
(2)
(3)
------------------------------
When the boy was born, the young girl was
a quarter of the age of the butcher, Tony.
That means the difference in their ages,
(4)
---------------
(2)
Substitute (2) into (4)
(4)
(4)
(4)
(4)
------------------
(1)
Substitute (1) into (3)
(3)
(3)
(3)
and, from (4),
(4)
By substitution:

----------------
(4)
(4)
and
(2)
(2)
(2)
----------------
(1)
(1)
(1)
----------------
The boy is 6
check:
(4)
(4)
(4)
and
(3)
(3)
(3)
(3)
OK

RELATED QUESTIONS
A boy is 25 years older than a girl. Five years ago the boy was two times as old as the... (answered by macston)

A family has three children. Every child was born to be a boy or girl with 50% chance.... (answered by Edwin McCravy,solver91311)

a man has two children, a boy and a girl. the boy is 6 years older than the girl.two... (answered by josmiceli)

5 years ago a boy was twice as old as a girl, 10 years later the boy will be twice as old (answered by lwsshak3)

What is the probability in a family of four children that the first child born is a boy... (answered by stanbon)

A girl was born 35years after her mother. What fraction of the mother's age wiill be the... (answered by stanbon)

A girl was born 35 years after her mother.what fraction of her mothers age will the girl... (answered by addingup)

In a class of 30 students there are 14 boys. what is the boy-girl ratio? (answered by rfer)

If a horse and a boy have a combined age of 49 and the horse is twice as old as the boy... (answered by da3,MathTherapy)