document.write( "Question 635687: the square of katie's age six year ago is equal to her age in six years time. find her present age \n" ); document.write( "

Algebra.Com's Answer #400668 by Maths68(1474) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let
\n" ); document.write( "Present age of Katie = k years old\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Six years ago
\n" ); document.write( "Katie was = k-6 years old
\n" ); document.write( "In Six years
\n" ); document.write( "Katie will be = k+6 years old
\n" ); document.write( "The square of katie's age six year ago is equal to her age in six years time
\n" ); document.write( "(k-6)^2=k+6
\n" ); document.write( "k^2-12k+36=k+6
\n" ); document.write( "k^2-13k+30=0
\n" ); document.write( "Solve for K
\n" ); document.write( "k^2-10k-3k+30=0
\n" ); document.write( "k(k-10)-3(k-10)=0
\n" ); document.write( "(k-3)(k-10)=0
\n" ); document.write( "k-3=0 or k-10=0
\n" ); document.write( "k=3 (unacceptable) or k=10\r
\n" ); document.write( "\n" ); document.write( "k=10\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Present age of Katie = k = 10 years old\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );