document.write( "Question 754640: Lynn is twice as old as carol. Three years ago, Lynn was three times as old as carol. How old is carol now?
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Algebra.Com's Answer #459253 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+a+\"$ = Lynn's age now
\n" ); document.write( "Let $\"+b+\"$ = Carol's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+a+=+2b+\"$
\n" ); document.write( "(2) $\"+a+-+3+=+3%2A%28+b+-+3+%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Substitute (1) into (2)
\n" ); document.write( "(2) $\"+2b+-+3+=+3%2A%28+b+-+3+%29+\"$
\n" ); document.write( "(2) $\"+2b+-+3+=+3b+-+9+\"$
\n" ); document.write( "(2) $\"+b+=+9+-+3+\"$
\n" ); document.write( "(2) $\"+b+=+6+\"$
\n" ); document.write( "Carol is 6 now
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+a+=+2b+\"$
\n" ); document.write( "(1) $\"+a+=+2%2A6+\"$
\n" ); document.write( "(1) $\"+a+=+12+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+a+-+3+=+3%2A%28+b+-+3+%29+\"$
\n" ); document.write( "(2) $\"+12+-+3+=+3%2A%28+6+-+3+%29+\"$
\n" ); document.write( "(2) $\"+9+=+3%2A3+\"$
\n" ); document.write( "(2) $\"+9+=+9+\"$
\n" ); document.write( "OK
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