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
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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?
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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
