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. \n" ); document.write( "

Algebra.Com's Answer #851200 by Edwin McCravy(20060) $\"\"$ $\"About$

You can put this solution on YOUR website!

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document.write( "Sorry, your '13' is a typo. I think you accidentally interchanged the digits and\r\n" );
document.write( "meant to type '31' instead of '13'.\r\n" );
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document.write( "So I will do this problem instead, with '13' changed to '31'.\r\n" );
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document.write( "When Tara was 3 years old Joe was 1/3 of Tara's current age. When Joe was 31 years old \r\n" );
document.write( "Tara was 1/3 of his current age. How old are each of them now?\r\n" );
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document.write( "T = Tara's present age\r\n" );
document.write( "J = Joe's present age\r\n" );
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document.write( "When Tara was 3 years old, Joe was... \r\n" );
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document.write( "Let that be x years ago, so T-x=3, and Joe was J-x\r\n" );
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document.write( "...Joe was 1/3 of Tara's current age. \r\n" );
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document.write( "When Joe was 31 years old Tara was...\r\n" );
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document.write( "Let that be y years ago. Joe was J-y=31 and Tara was T-y\r\n" );
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document.write( "...Tara was 1/3 of his current age. \r\n" );
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document.write( "How old are each of them now?\r\n" );
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document.write( "Solve that by hand, or put it in any system solver.  There are a number\r\n" );
document.write( "of them online.\r\n" );
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document.write( "Get J=57, T=45, x=42, y=26\r\n" );
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document.write( "Let's check:\r\n" );
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document.write( "When Tara was 3 years old,...\r\n" );
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document.write( "Tara is 45, so x=42 years ago she was 45-42 = 3.\r\n" );
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document.write( "That checks. \r\n" );
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document.write( "Joe was 1/3 of Tara's current age. \r\n" );
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document.write( "Joe is 57, so y=26 years ago, he was 57-26 = 31\r\n" );
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document.write( "So that checks.\r\n" );
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document.write( "When Joe was 31 years old Tara was 1/3 of his (Joe's) current age. \r\n" );
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document.write( "y=26 years ago was when Joe was 31, and Tara was 45-26=19. And sure enough,\r\n" );
document.write( "19 is 1/3 of 57, which is Joe's present age.   \r\n" );
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document.write( "Answer: Tara is 45 and Joe is 57.\r\n" );
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document.write( "Edwin

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