document.write( "Question 1209951: Hi
\n" ); document.write( "When tara was 3 years old Joe was 1/3 of Tara's current age. When Joe was 13 years old Tara was 1/3 of his current age. How old are each of them now.
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Algebra.Com's Answer #851204 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "I read the problem differently than the other tutor....

\n" ); document.write( "\"When Joe was 13 years old Tara was 1/3 of his current age.\" I read that to mean Tara's age when Joe was 13 years old is one-third of TARA'S age now.

\n" ); document.write( "Starting with that....

\n" ); document.write( "Let x = Tara's age when Joe was 13
\n" ); document.write( "Then 3x = Tara's age now
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document.write( "\r\n" );
document.write( "   Tara   Joe\r\n" );
document.write( "  ------------\r\n" );
document.write( "    3x     ??   their ages now\r\n" );
document.write( "     x     13   their ages when Joe was 13

\n" ); document.write( "When Tara was 3 years old, Joe was 1/3 of Tara's current age.
\r\n" );
document.write( "\r\n" );
document.write( "   Tara   Joe\r\n" );
document.write( "  ------------\r\n" );
document.write( "    3x     ??   their ages now\r\n" );
document.write( "     x     13   their ages when Joe was 13\r\n" );
document.write( "     3      x   their ages when Tara was 3

\n" ); document.write( "The difference between their ages is constant:

\n" ); document.write( "13-x = x-3
\n" ); document.write( "16 = 2x
\n" ); document.write( "x = 8
\r\n" );
document.write( "\r\n" );
document.write( "   Tara   Joe\r\n" );
document.write( "  ------------\r\n" );
document.write( "    24     ??   their ages now\r\n" );
document.write( "     8     13   their ages when Joe was 13\r\n" );
document.write( "     3      8   their ages when Tara was 3

\n" ); document.write( "Joe is 5 years older than Tara, so...
\r\n" );
document.write( "\r\n" );
document.write( "   Tara   Joe\r\n" );
document.write( "  ------------\r\n" );
document.write( "    24     29   their ages now\r\n" );
document.write( "     8     13   their ages when Joe was 13\r\n" );
document.write( "     3      8   their ages when Tara was 3

\n" ); document.write( "ANSWERS: Tara is now 24; Joe is 29

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\n" ); document.write( "Note on proper English....

\n" ); document.write( "\"How old are they now?\"

\n" ); document.write( "or

\n" ); document.write( "\"How old is each of them now?\"

\n" ); document.write( "but not

\n" ); document.write( "\"How old are each of them now?\"

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