SOLUTION: The square of Janes age 6 years ago is equal to her age in six years time. Find her present age? Thank you.

Question 378904: The square of Janes age 6 years ago is equal to her age in six years time. Find her present age?
Thank you.
Found 3 solutions by Alan3354, Jerome952, MathTherapy:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
(j-6)^2 = j+6
j^2 - 12j + 36 = j+6
j^2 - 13j + 30 = 0
(j-10)*(j-3) = 0
j = 10
j = 3 (gives negative ages)

Answer by Jerome952(2)   (Show Source): You can put this solution on YOUR website!
Follow correct answer please
let Jane's age now be X
Jane's age 6years ago =X -6
Jane's age in 6years time = X +6
(X -6)^2 = X +6
(X-6)(X-6)=X +6
X^2 -6X-6X +36X= X +6
X^2 -12X +36X-X-6=0
X^2-11X +30=0
the roots are -6 and -5
X^2-6X-5X +30=0
X(X -6)-5(X-6)=0
(X-6)(X-5)=0
X=6 or X=5
since both answers are positive and they satisfy our equation, we take them both
so jane's present age is 5years or 6Years old
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

The square of Janes age 6 years ago is equal to her age in six years time. Find her present age?
Thank you.

Jane's age, or OR J = 3 (ignore)
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