SOLUTION: in four years time a mother will be three times old as her son. four years ago she was five times as old as her son. find their present age
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Question 179541: in four years time a mother will be three times old as her son. four years ago she was five times as old as her son. find their present age Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! Let = the Mother's age now
Let = her Son's age now
In 4 years, the Mother's age will be
In 4 years, the Son age will be
4 years ago, the Mother's age was
4 years ago, the Son's age was
given:
(1)
(2)
-----------------------
There are 2 equations and 2 unknowns, so it's solvable
(1)
(2)
Now subtract (1) from (2)
(2)
(1)
Substitute this in (2)
(2)
The Mother is 44 and the Son is 12
check:
(1)
(1)
(2)
(2)
OK