SOLUTION: Patrick is four years younger than his sister Alice. In 5 years, Patrick will be 3/4 as old as Alice. How old is Patrick now?

Question 777621: Patrick is four years younger than his sister Alice. In 5 years, Patrick will be 3/4 as old as Alice. How old is Patrick now?

Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Patrick's age now
Let = Alice's age now
------------------------
(1)
(2)
--------------------------
(2)
(2)
(2)
and
(1)
(1)
---------------
Multiply both sides of (1) by
and subtract (2) from (1)
(1)
(2)

and
(1)
(1)
(1)
Patrick is 7 now
check:
(2)
(2)
(2)
(2)
(2)
OK

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