document.write( "Question 1065302: Nine Years ago, Frank was half as old as Marilyn. Now his age is two thirds her age. Find their ages now. WITH WORK PLEASE \n" ); document.write( "

Algebra.Com's Answer #680452 by ikleyn(52862) $\"\"$ $\"About$

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\n" ); document.write( "Nine Years ago, Frank was half as old as Marilyn. Now his age is two thirds her age. Find their ages now. WITH WORK PLEASE
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document.write( "Let F be the Frank's present age, M be the Marilyn's present age.\r\n" );
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document.write( "9 years ago Frank was (F-9) years old, while Marilyn was (M-9) years old.\r\n" );
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document.write( "The condition says \r\n" );
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document.write( "F - 9 = .   (1)     (\"Nine Years ago, Frank was half as old as Marilyn\")\r\n" );
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document.write( "Now his age is two thirds her age:\r\n" );
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document.write( "F = .           (2)\r\n" );
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document.write( "Substitute (2) into equation (1) replacing F. You will get\r\n" );
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document.write( " = .\r\n" );
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document.write( "You have a single equation for single unknown M. To solve it, multiply both sides by 6 to rid of denominators. You will get\r\n" );
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document.write( "4M - 54 = 3*(M-9),\r\n" );
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document.write( "4M - 54 = 3M - 27,\r\n" );
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document.write( "4M - 3M = -27 + 54,\r\n" );
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document.write( "M = 27.\r\n" );
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document.write( "So, we found Marilyn present age is 27 years.\r\n" );
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document.write( "Then from (2) Franklin 18 =  years old.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solved.\r
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\n" ); document.write( "\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 problem for the day of April, 1 \r
\n" ); document.write( "\n" ); document.write( "    - OVERVIEW of lessons on age problems\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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