document.write( "Question 1117562: NINE YEARS AGO, MICHAEL IS FIVE TIMES OLD AS TOM. NOW, HE IS ONLY THREE TIMES AS OLD AS TOM. FIND THEIR PRESENT AGES. \n" ); document.write( "

Algebra.Com's Answer #732676 by ikleyn(52818) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let T be the Tom's current age.\r\n" );
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document.write( "Then the Michael current age is 3T.\r\n" );
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document.write( "9 years ago Tom was (T-9) years old, while Michael was 3T-9 years old, and for that time\r\n" );
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document.write( "3T -9 = 5*(T-9),   according to the condition.\r\n" );
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document.write( "Simplify and solve for T:\r\n" );
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document.write( "3T - 9 = 5T - 45\r\n" );
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document.write( "45 - 9 = 5T - 3T\r\n" );
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document.write( "36 = 2T  ====>  T =  = 18.\r\n" );
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document.write( "Answer.  Tom is 18 years old;  Michael is 3*18 = 54 years old.\r\n" );
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document.write( "         Nine years ago:  T = 9;  M = 45;  The ratio is   = 5  ----> the solution is correct !\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "There is a bunch of lessons on age word problems \r
\n" ); document.write( "\n" ); document.write( "    - Age problems and their solutions\r
\n" ); document.write( "\n" ); document.write( "    - A fresh formulation of a traditional age problem\r
\n" ); document.write( "\n" ); document.write( "    - Really intricate age word problem\r
\n" ); document.write( "\n" ); document.write( "    - Selected age word problems from the archive\r
\n" ); document.write( "\n" ); document.write( "    - Age problems for mental solution \r
\n" ); document.write( "\n" ); document.write( "in this site.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solving age problems.\r
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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Age word problems\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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\n" ); document.write( "\n" ); document.write( "If your keyboard is in order, do not print all the text in CAPS. Do not scare us !\r
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\n" ); document.write( "\n" ); document.write( "Thank you.\r
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