SOLUTION: Jenny is y^2 years old and her daughter allyson is y years old. If jenny lives to the age of 13y allyson willl be y^2 years old. How old is allyson now?

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Question 1054469: Jenny is y^2 years old and her daughter allyson is y years old. If jenny lives to the age of 13y allyson willl be y^2 years old.
How old is allyson now?

Answer by ikleyn(52781) About Me  (Show Source):
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Jenny is y^2 years old and her daughter Allyson is y years old. If Jenny lives to the age of 13y Allyson will be y^2 years old.
How old is Allyson now?
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The equation is

13y-y%5E2 = y%5E2-y.   (years coming from now till the future . . . )

2y%5E2+-+14y = 0,

y%5E2+-+7y = 0,

y = 7.

Answer.  Allison is 7 years now, Jenny is 49 yeas now.


Check.  13y = 13*7 = 91 will happen in 91-49 = 42 years.
                  Jenny will be 7 + 42 = 49 years old at that time.

Thank you for submitting this fresh looking age problem.