SOLUTION: The product of reeta's age(in years) five years ago and her age nine years later is 15, the present age of reeta is?

Question 1023609: The product of reeta's age(in years) five years ago and her age nine years later is 15, the present age of reeta is?
Answer by Jerome952(2) (Show Source): You can put this solution on YOUR website!
If Reetah's age now is X
Reetah's age five years ago = X-5
Reetah's age in 9years to come=X +9
the product of Reetah's age in 5years before and 9years to come
(X-5)(X +9)=15
X^2 +9x-5X-45=15
collecting like terms to form a proper quadratic equation
X^2 +4X-60=0
solving the quadratic equation
X^2 +10X-6X-60=0
X(X +10)-6(X +10)=0
(X-6)(X +10)=0
therefor X=6 or X=-10
but we shall choose a positive answer which is X=6years
So Reetah's age now is 6years
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