document.write( "Question 1100468: george was three times as old as joe 5 years ago. Their total age now is 42. How old is Joe now? \n" ); document.write( "

Algebra.Com's Answer #714951 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+a+\"$ = Joe's age now
\n" ); document.write( "Let $\"+b+\"$ = George's age now
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) $\"+b+-+5+=+3%2A%28+a+-+5+%29+\"$
\n" ); document.write( "(2) $\"+a+%2B+b+=+42+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "(1) $\"+b+-+5+=+3a+-+15+\"$
\n" ); document.write( "(1) $\"+3a+-+b+=+10+\"$
\n" ); document.write( "--------------------------
\n" ); document.write( "Add (1) and (2)
\n" ); document.write( "(2) $\"+a+%2B+b+=+42+\"$
\n" ); document.write( "(1) $\"+3a+-+b+=+10+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( " $\"+4a+=+52+\"$
\n" ); document.write( " $\"+a+=+13+\"$
\n" ); document.write( "and
\n" ); document.write( "(2) $\"+13+%2B+b+=+42+\"$
\n" ); document.write( "(2) $\"+b+=+29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "Joe is 13 now
\n" ); document.write( "----------------
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+b+-+5+=+3%2A%28+a+-+5+%29+\"$
\n" ); document.write( "(1) $\"+29+-+5+=+3%2A%28+13+-+5+%29+\"$
\n" ); document.write( "(1) $\"+24+=+3%2A8+\"$
\n" ); document.write( "(1) $\"+24+=+24+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );