Question 1054469
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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^2}}} = {{{y^2-y}}}.   (years coming from now till the future . . . )

{{{2y^2 - 14y}}} = 0,

{{{y^2 - 7y}}} = 0,

y = 7.

<U>Answer</U>.  Allison is 7 years now, Jenny is 49 yeas now.


<U>Check</U>.  13y = 13*7 = 91 will happen in 91-49 = 42 years.
                  Jenny will be 7 + 42 = 49 years old at that time.
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Thank you for submitting this fresh looking age problem.