document.write( "Question 378904: The square of Janes age 6 years ago is equal to her age in six years time. Find her present age?\r
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Algebra.Com's Answer #639151 by Jerome952(2)![]() ![]() You can put this solution on YOUR website! Follow correct answer please \n" ); document.write( "let Jane's age now be X \n" ); document.write( "Jane's age 6years ago =X -6 \n" ); document.write( "Jane's age in 6years time = X +6 \n" ); document.write( "(X -6)^2 = X +6 \n" ); document.write( "(X-6)(X-6)=X +6 \n" ); document.write( "X^2 -6X-6X +36X= X +6 \n" ); document.write( "X^2 -12X +36X-X-6=0 \n" ); document.write( "X^2-11X +30=0 \n" ); document.write( "the roots are -6 and -5 \n" ); document.write( "X^2-6X-5X +30=0 \n" ); document.write( "X(X -6)-5(X-6)=0 \n" ); document.write( "(X-6)(X-5)=0 \n" ); document.write( "X=6 or X=5 \n" ); document.write( "since both answers are positive and they satisfy our equation, we take them both \n" ); document.write( "so jane's present age is 5years or 6Years old \n" ); document.write( " |