document.write( "Question 836335: Ben is 40 years older than Omar. Eleven years ago, Ben was 5 times as old as Omar.How old is Omar now? \n" ); document.write( "

Algebra.Com's Answer #504119 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Ben's age now
\n" ); document.write( "Let $\"+b+\"$ = Omar's age now
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+a+=+b+%2B+40+\"$
\n" ); document.write( "(2) $\"+a+-+11+=+5%2A%28+b+-+11+%29+\"$
\n" ); document.write( "---------------------------
\n" ); document.write( "(2) $\"+a+-+11+=+5b+-+55+\"$
\n" ); document.write( "(2) $\"+-a+%2B+5b+=+44+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+-+b+=+40+\"$
\n" ); document.write( "------------------
\n" ); document.write( "add the equations
\n" ); document.write( "(2) $\"+-a+%2B+5b+=+44+\"$
\n" ); document.write( "(1) $\"+a+-+b+=+40+\"$
\n" ); document.write( " $\"+4b+=+84+\"$
\n" ); document.write( " $\"+b+=+21+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+a+=+b+%2B+40+\"$
\n" ); document.write( "(1) $\"+a+=+21+%2B+40+\"$
\n" ); document.write( "(1) $\"+a+=+61+\"$
\n" ); document.write( "-----------------
\n" ); document.write( "61 is Ben's age now
\n" ); document.write( "21 is Omar's age now
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+a+-+11+=+5%2A%28+b+-+11+%29+\"$
\n" ); document.write( "(2) $\"+61+-+11+=+5%2A%28+21+-+11+%29+\"$
\n" ); document.write( "(2) $\"+50+=+5%2A10+\"$
\n" ); document.write( "(2) $\"+50+=+50+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );