Question 462031: Five years ago Jenny was exactly double the age of John. Five years from now John will be exactly 3/4 tha age of Jenny.Calcute both their ages.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
Let  represent Jenny's age today. Let  represent John's age today. Then  is Jenny's age 5 years ago, and  is John's age 5 years ago. Likewise,  is Jenny's age 5 years from now, and  is John's age 5 years from now.
We have to make assumptions about the conditions stated in the problem because there are ambiguities in the language. I'm going to re-write it expressing the assumptions and eliminating the ambiguities.
Five years ago Jenny was exactly double the age of John at that time. Five years from now John will be exactly 3/4 the age that Jenny will be at that time. Calcute both their ages.
Using the stated conditions, establish two equality relationships:
)
\ =\ y\ +\ 5)
Solve the system for , Jenny's age now, and , John's age now. Hint: Rearrange both equations into standard form, then solve by elimination using a multiplier of -2 on the first equation.
John
My calculator said it, I believe it, that settles it
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