SOLUTION: Ramon is six times Jenny's age. In 12 years he'll only be twice her age. How old is Ramon? How old is Jenny?? Mandy is now twice Katy's age. In six years she will be 1 1/2 times

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Question 1009327: Ramon is six times Jenny's age. In 12 years he'll only be twice her age. How old is Ramon? How old is Jenny??
Mandy is now twice Katy's age. In six years she will be 1 1/2 times Katy's age. How old is Katy? How old is Mandy?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Ramon is six times Jenny's age. In 12 years he'll only be twice her age. How old is Ramon? How old is Jenny??
Equations::
r = 6j
r+12 = 2(j+12)
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Substitute for "r" and solve for "j"::
6j+12 = 2j + 24
----
4j = 12
jenny is 3 yrs old now
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Mandy is now twice Katy's age. In six years she will be 1 1/2 times Katy's age. How old is Katy? How old is Mandy?
Equation::
m = 2k
m+6 = (3/2)(k+6)
----
Substitute for "k" and solve for "m"::
m + 6 = (3/2)((m/2)+6)
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m+6 = (3/4)m + 9
---
(1/4)m = 3
Mandy's age = 12 yrs
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Cheers,
Stan H.
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