document.write( "Question 1209951: Hi
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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. \n" );
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Algebra.Com's Answer #851204 by greenestamps(13200)![]() ![]() You can put this solution on YOUR website! \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 \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 \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 \n" ); document.write( "------------------------------------------------------------------ \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?\" \n" ); document.write( " \n" ); document.write( " |