document.write( "Question 1103354: Rover was 5 years older than Yolanda. In 10 years he found that 4 times his age exceede twice Yolanda's age by only 50. How old were Rover and Yolanda in the beginning? I tried to solve this, but my answers wouldn't solve. Could you help me learn how? Thank you! \n" ); document.write( "

Algebra.Com's Answer #718039 by ikleyn(52864) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "In Math terms, the condition says THIS:\r\n" );
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document.write( "R = Y + 5                      (1)     (\"Rover was 5 years older than Yolanda.\")\r\n" );
document.write( "4*(R + 10) = 2*(Y+10) + 50.    (2)     (\"In 10 years . . .  4 times his age exceeds twice Yolanda's age by only 50.\")\r\n" );
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document.write( "Simplify (2):\r\n" );
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document.write( "4R + 40 = 2Y + 20 + 50,\r\n" );
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document.write( "4R = 2Y + 70 - 40\r\n" );
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document.write( "4R = 2Y + 30.                  (3)\r\n" );
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document.write( "Next, substitute (1) into eq(3). You will get\r\n" );
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document.write( "4*(Y+5) = 2Y + 30,   or\r\n" );
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document.write( "4Y + 20 = 2Y + 30,\r\n" );
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document.write( "2Y = 30 - 20 = 10  ====>  Y =  = 5.\r\n" );
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document.write( "Then  from (1)  R = Y + 5 = 5+5 = 10.\r\n" );
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document.write( "Answer.  At the beginning, R was 10 years old;  Y was 5 years old.\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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