SOLUTION: Mum is 4 times older than her daughter. In 4 years time she will be 3 times older than her daughter. In how many years will mum be exactly twice her daughters age? What will their
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Question 1034779: Mum is 4 times older than her daughter. In 4 years time she will be 3 times older than her daughter. In how many years will mum be exactly twice her daughters age? What will their ages be?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Mum's age now
Let = daughter's age now
---------------------------
(1)
(2)
-------------------------
Substitute (1) into (2)
(2)
(2)
(2)
and
(1)
(1)
(1)
--------------------
Let = the number of years from now
when Mum's age is twice daughter's age
--------------------
(3)
(3)
(3)
(3)
In 16 years Mum will be twice daughter's age
--------------------
check:
and
48 is twice 24
OK
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