document.write( "Question 1164417: Faith is 10 years older than Grace. Eight years ago, Faith was 3 times Grace's age. How old are they now? \n" ); document.write( "

Algebra.Com's Answer #788826 by ikleyn(52817) $\"\"$ $\"About$

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\n" ); document.write( "Faith is 10 years older than Grace. Eight years ago, Faith was 3 times Grace's age. How old are they now?
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document.write( "Let x be the Grace age;  Then Faith is (x+10) years old.\r\n" );
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document.write( "Eight years ago they were  (x-8) (Grace)  and  ((x+10)-8) = (x+2)  (Faight) years old.\r\n" );
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document.write( "The condition says\r\n" );
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document.write( "    x+2 = 3*(x-8).\r\n" );
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document.write( "From this equation\r\n" );
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document.write( "    x+2 = 3x - 24\r\n" );
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document.write( "    2 + 24 = 3x - x\r\n" );
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document.write( "    26     = 2x\r\n" );
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document.write( "     x     = 26/2 = 13.\r\n" );
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document.write( "ANSWER.  Grace is 13 years old;  Faith is 13+10 = 23 years old.\r\n" );
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document.write( "CHECK.  8 years age they were  13-8 = 5  and  23-8 = 15 years old with the ratio  = 3.  ! Correct !\r\n" );
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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 problems\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( "    - Miscellaneous 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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\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\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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