document.write( "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? \n" ); document.write( "

Algebra.Com's Answer #639137 by Jerome952(2) $\"\"$ $\"About$

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If Reetah's age now is X
\n" ); document.write( "Reetah's age five years ago = X-5
\n" ); document.write( "Reetah's age in 9years to come=X +9
\n" ); document.write( "the product of Reetah's age in 5years before and 9years to come
\n" ); document.write( "(X-5)(X +9)=15
\n" ); document.write( "X^2 +9x-5X-45=15
\n" ); document.write( "collecting like terms to form a proper quadratic equation
\n" ); document.write( "X^2 +4X-60=0
\n" ); document.write( "solving the quadratic equation
\n" ); document.write( "X^2 +10X-6X-60=0
\n" ); document.write( "X(X +10)-6(X +10)=0
\n" ); document.write( "(X-6)(X +10)=0
\n" ); document.write( "therefor X=6 or X=-10
\n" ); document.write( "but we shall choose a positive answer which is X=6years
\n" ); document.write( "So Reetah's age now is 6years \n" ); document.write( "

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