SOLUTION: Hi jane is twice as old as carl and 4 times older than penny.owen is 2 years younger than penny. how old is jane when the total of their ages is 70. thanks

Question 1018192: Hi
jane is twice as old as carl and 4 times older than penny.owen is 2 years younger than penny.
how old is jane when the total of their ages is 70.
thanks
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = Penny's age
Let = Jane's age
Let = Owen's age
Let = Carl's age
----------------------
(1)
(2)
(3)
(4)
------------------------
There are 4 equations and 4 unknowns,
so it is solvable.
---------------
(1)
(2)
and
(3)
(3)
-----------------
Plug these results into (4)
(4)
(4)
(4)
(4)
(4)
and
(1)
(1)
(1)
and
(2)
(2)
(2)
and
(3)
(3)
(3)
-------------------
Penny's age = 9
Jane's age = 36
Owen's age = 7
Carl's age = 18
--------------
check:
(4)
(4)
(4)
OK
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