document.write( "Question 804478: The sum of jane's age and Tarzan's age is 34 Years. Five years ago the sum of twice jane's age and 3 times Tarzan's age was 61 years. What are their present age? \n" ); document.write( "

Algebra.Com's Answer #484760 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+j+\"$ = Jane's age now
\n" ); document.write( "Let $\"+t+\"$ = Tarzan's age now
\n" ); document.write( "-------------------------
\n" ); document.write( "(1) $\"+j+%2B+t+=+34+\"$
\n" ); document.write( "(2) $\"+2%2A%28+j+-+5+%29+%2B+3%2A%28+t+-+5+%29+=+61+\"$
\n" ); document.write( "-------------------------------
\n" ); document.write( "(2) $\"+2j+-+10+%2B+3t+-+15+=+61+\"$
\n" ); document.write( "(2) $\"+2j+%2B+3t+=+86+\"$
\n" ); document.write( "------------------
\n" ); document.write( "Multiply both sides of (1) by $\"+2+\"$
\n" ); document.write( "and subtract (1) from (2)
\n" ); document.write( "(2) $\"+2j+%2B+3t+=+86+\"$
\n" ); document.write( "(1) $\"+-2j+-+2t+=+-68+\"$
\n" ); document.write( " $\"+t+=+18+\"$
\n" ); document.write( "and
\n" ); document.write( "(1) $\"+j+%2B+18+=+34+\"$
\n" ); document.write( "(1) $\"+j+=+16+\"$
\n" ); document.write( "Tarzan is 18 and Jane is 16
\n" ); document.write( "check:
\n" ); document.write( "(2) $\"+2%2A%28+j+-+5+%29+%2B+3%2A%28+t+-+5+%29+=+61+\"$
\n" ); document.write( "(2) $\"+2%2A%28+16+-+5+%29+%2B+3%2A%28+18+-+5+%29+=+61+\"$
\n" ); document.write( "(2) $\"+2%2A11+%2B+3%2A13+=+61+\"$
\n" ); document.write( "(2) $\"+22+%2B+39+=+61+\"$
\n" ); document.write( "(2) $\"+61+=+61+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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