document.write( "Question 756418: There is an age difference of 14 years between Pete and Anna. Six years ago, Anne was twice as old as Peter. How old is each person today? \n" ); document.write( "

Algebra.Com's Answer #460190 by josgarithmetic(39617) $\"\"$ $\"About$

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P for Pete
\n" ); document.write( "A for Anna\r
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\n" ); document.write( "\n" ); document.write( "Anna seems to be older than Pete.
\n" ); document.write( " $\"A-P=14+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"%28A-6%29=2%28P-6%29\"$
\n" ); document.write( "That is the system initially.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "A-6=2P-12
\n" ); document.write( "A-2P=6-12
\n" ); document.write( "A-2P=-6
\n" ); document.write( "A=2P-6\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Substitute the A in the first equation to solve for P, although this is not the only method you may use.
\n" ); document.write( "(2P-6)-P=14
\n" ); document.write( "2P-6-P=14
\n" ); document.write( "P-6=14
\n" ); document.write( "P=8, so A=6 \n" ); document.write( "

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