document.write( "Question 713077: Jose is 5 years older than Tess. Three years ago, he was twice as old as Tess. How old is Tess now? \n" ); document.write( "

Algebra.Com's Answer #438290 by josmiceli(19441) $\"\"$ $\"About$

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Let $\"+t+\"$ = Tess's age now
\n" ); document.write( "Let $\"+j+\"$ =Jose's age now
\n" ); document.write( "given:
\n" ); document.write( " $\"+j+=+t+%2B+5+\"$
\n" ); document.write( " $\"+j+-+3+=2%2A%28+t+-+3+%29+\"$
\n" ); document.write( "------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+t+%2B+5+-+3+=+2%2A%28+t+-+3+%29+\"$
\n" ); document.write( " $\"+t+%2B+2+=+2t+-+6+\"$
\n" ); document.write( " $\"+t+=+8+\"$
\n" ); document.write( "and, since
\n" ); document.write( " $\"+j+=+t+%2B+5+\"$
\n" ); document.write( " $\"+j+=+8+%2B+5+\"$
\n" ); document.write( " $\"+j+=+13+\"$
\n" ); document.write( "-----------
\n" ); document.write( "Tess is 8 now
\n" ); document.write( "check:
\n" ); document.write( " $\"+j+-+3+=2%2A%28+t+-+3+%29+\"$
\n" ); document.write( " $\"+13+-+3+=2%2A%28+8+-+3+%29+\"$
\n" ); document.write( " $\"+10+=+2%2A5+\"$
\n" ); document.write( " $\"+10+=+10+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );