document.write( "Question 1120955: Karen is 3 years younger than Susan. Five years ago the sum of their ages was 41. How old are they both now? \n" ); document.write( "

Algebra.Com's Answer #736671 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "Solution 1 : two unknowns, two equations\r
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document.write( "S - K = 3               (1)\r\n" );
document.write( "(S-5) + (K-5) = 41      (2)\r\n" );
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document.write( "Equivalently\r\n" );
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document.write( "S - K =  3              (1')\r\n" );
document.write( "S + K = 51              (2')\r\n" );
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document.write( "Add equations (1') and (2'). You will get\r\n" );
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document.write( "2S = 3 + 51 = 54  ====>  S = 54/2 = 27.\r\n" );
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document.write( "Answer.  Susan is 27;  Karen is 24 years old.\r\n" );
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\n" ); document.write( "\n" ); document.write( "Solution 2 : one unknown, one equation\r
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document.write( "(K-5) + ((K+3)-5) = 41     (5 years ago . . . )\r\n" );
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document.write( "2K - 7 = 41\r\n" );
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document.write( "2K = 41 + 7 = 48  \r\n" );
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document.write( "K = 24,\r\n" );
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document.write( "and you get the same answer.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a very standard age word problem.\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 problems for mental solution \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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