document.write( "Question 1047653: Kathy is six years older than her cat. Next year she will be twice as old as her cat will be. How old is Kathy now? \n" ); document.write( "

Algebra.Com's Answer #663205 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Kathy's age now
\n" ); document.write( "Let $\"+b+\"$ = her cat's age now
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+6+\"$
\n" ); document.write( "(2) $\"+a+%2B+1+=+2%2A%28+b+%2B+1+%29+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "(2) $\"+a+%2B+1+=+2b+%2B+2+\"$
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+b+%2B+6+%2B+1+=+2b+%2B+2+\"$
\n" ); document.write( "(2) $\"+b+%2B+7+=+2b+%2B+2+\"$
\n" ); document.write( "(2) $\"+b+=+5+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+%2B+6+\"$
\n" ); document.write( "(1) $\"+a+=+5+%2B+6+\"$
\n" ); document.write( "(1) $\"+a+=+11+\"$
\n" ); document.write( "-------------------
\n" ); document.write( "Kathy is 11 now
\n" ); document.write( "-------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+%2B+1+=+2%2A%28+b+%2B+1+%29+\"$
\n" ); document.write( "(2) $\"+11+%2B+1+=+2%2A%28+5+%2B+1+%29+\"$
\n" ); document.write( "(2) $\"+12+=+2%2A6+\"$
\n" ); document.write( "(2) $\"+12+=+12+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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