document.write( "Question 431139: tom is 4 years older than jerry. in 2 years, jerry will be halfas old as tom. find their ages now \n" ); document.write( "

Algebra.Com's Answer #299293 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"t\"$ = Tom's age now
\n" ); document.write( "Let $\"j\"$ = Jerry's age now
\n" ); document.write( "given:
\n" ); document.write( "(1) $\"+t+=+j+%2B+4+\"$
\n" ); document.write( "(2) $\"+j+%2B+2+=+%281%2F2%29%2A%28t+%2B+2%29+\"$
\n" ); document.write( "-----------------------
\n" ); document.write( "(2) $\"2%2A%28+j+%2B+2+%29+=+t+%2B+2+\"$
\n" ); document.write( "(2) $\"+2j+%2B+4+=+t+%2B+2+\"$
\n" ); document.write( "(2) $\"+t+-+2j+=+2+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+t+-+j+=+4+\"$
\n" ); document.write( "Multiply both sides of (1) by $\"2\"$
\n" ); document.write( "and subtract (2) from (1)
\n" ); document.write( "(1) $\"+2t+-+2j+=+8+\"$
\n" ); document.write( "(2) $\"+-t+%2B+2j+=+-2+\"$
\n" ); document.write( " $\"+t+=+6+\"$
\n" ); document.write( "Plug this into (1)
\n" ); document.write( "(1) $\"+6+-+j+=+4+\"$
\n" ); document.write( " $\"+-j+=+-2+\"$
\n" ); document.write( " $\"+j+=+2+\"$
\n" ); document.write( "Tom is 6 and Jerry is 2
\n" ); document.write( "check:
\n" ); document.write( "(1) $\"+t+=+j+%2B+4+\"$
\n" ); document.write( "(1) $\"6+=+2+%2B+4\"$
\n" ); document.write( "OK
\n" ); document.write( "(2) $\"+j+%2B+2+=+%281%2F2%29%2A%28t+%2B+2%29+\"$
\n" ); document.write( "(2) $\"+2+%2B+2+=+%281%2F2%29%2A%286+%2B+2%29+\"$
\n" ); document.write( "(2) $\"+4+=+%281%2F2%29%2A8+\"$
\n" ); document.write( "(2) $\"+8+=+8+\"$
\n" ); document.write( "OK \n" ); document.write( "

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