SOLUTION: The ages of four siblings equals 27. Peter is 2 years old then Paige. Perry is 3 years old then twice Paige, Pippa is 11 years younger than Perry. Find their ages

Question 1010043: The ages of four siblings equals 27. Peter is 2 years old then Paige. Perry is 3 years old then twice Paige, Pippa is 11 years younger than Perry. Find their ages
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Peter's age
Let = Paige's age
Let = Perry's age
Let = Pippa's age
----------------------
There are 4 unknowns, so you
need 4 equations
(1)
(2)
(3)
(4)
------------------
Substitute (3) into (4)
(4)
(4)
----------------------
Substitute (2), (3), and (4) into (1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
and
(4)
(4)
(4)
--------------------
Peter's age is 7
Paige's age is 5
Perry's age is 13
Pippa's age is 2
-----------------
check:
(1)
(1)
(1)
OK
You can check the other 3 equations
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