document.write( "Question 1013837: Luis is 8 years younger than Michael. Two years ago, Michael was 5 times as old as Luis. Old old is Luis now? \n" ); document.write( "

Algebra.Com's Answer #630117 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Luis's age now
\n" ); document.write( "Let $\"+b+\"$ = Michael's age now
\n" ); document.write( "----------------------------
\n" ); document.write( "(1) $\"+a+=+b+-+8+\"$
\n" ); document.write( "(2) $\"+b+-+2+=+5%2A%28+a+-+2+%29+\"$
\n" ); document.write( "------------------------
\n" ); document.write( "(2) $\"+b+-+2+=+5a+-+10+\"$
\n" ); document.write( "(2) $\"+5a+-+b+=+8+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+-a+%2B+b+=+8+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "Add the equations
\n" ); document.write( "(2) $\"+5a+-+b+=+8+\"$
\n" ); document.write( "(1) $\"+-a+%2B+b+=+8+\"$
\n" ); document.write( "------------------
\n" ); document.write( " $\"+4a+=+16+\"$
\n" ); document.write( " $\"+a+=+4+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+-+8+\"$
\n" ); document.write( "(1) $\"4+=+b+-+8+\"$
\n" ); document.write( "(1) $\"+b+=+12+\"$
\n" ); document.write( "----------------
\n" ); document.write( "Luis is 4 and Michael is 12
\n" ); document.write( "-----------------------
\n" ); document.write( "check:
\n" ); document.write( "Luis is 8 years younger
\n" ); document.write( "OK
\n" ); document.write( "2 yrs ago, Michael was 10
\n" ); document.write( "2 yrs ago Luis was 2
\n" ); document.write( "So Michael was 5 times as old as Luis
\n" ); document.write( "OK \n" ); document.write( "

\n" );