document.write( "Question 1109036: Annabelle is y^2 years old and her daughters Sarah is y years old. If Annabelle lives to the age of 13y, Sarah will be y^2 years old. How old is Sarah now? \n" ); document.write( "

Algebra.Com's Answer #724058 by ikleyn(52879) $\"\"$ $\"About$

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document.write( "According to the first part of the condition, Anabelle is (y^2 - y) years older than Sarah.\r\n" );
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document.write( "According to the second part of the condition, Anabelle is (13y - y^2) years older than Sarah.\r\n" );
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document.write( "Actually, these two differences are the same:\r\n" );
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document.write( "    y^2 - y = 13y - y^2.\r\n" );
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document.write( "Solve it:\r\n" );
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document.write( "2y^2 - 14y = 0\r\n" );
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document.write( "2y(y-7) = 0.\r\n" );
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document.write( "The only meaningful solution to the problem is y = 7.\r\n" );
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document.write( "Answer.  Sarah is 7 years old now.\r\n" );
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document.write( "         Anabelle is 49 yers old now.\r\n" );
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document.write( "         The differences in ages are: 1) 49-7 = 42;  b) 13*7 - y^2 = 91-49 = 42.\r\n" );
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document.write( "         ! 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
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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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