document.write( "Question 1164624: Raymond is 12 years younger than Susan. Four years ago, she was 4 times as old as he was. Find their present ages. \r
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document.write( "I know that right now, Susan is x and Raymond is x-12. 4 years ago, Susan is 4(x-12). I'm not sure how to set the problem up after this. Please help. TY! \n" );
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Algebra.Com's Answer #789055 by ikleyn(52867) You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " I will start as you do, and then will continue as it SHOULD BE.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the Susan age.\r\n" ); document.write( "\r\n" ); document.write( "Then the Raymond's age is (x-12), according to the condition.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Four years ago, Susan was (x-4) years old.\r\n" ); document.write( "\r\n" ); document.write( "Four years ago, Raymond was ((x-12)-4) = x - 16 years old.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " +----------------------------------------------------------+\r\n" ); document.write( " | \"Four years ago, she was 4 times as old as he was.\" |\r\n" ); document.write( " +----------------------------------------------------------+\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x - 4 = 4*(x-16). <<<---=== it is your setup equation.\r\n" ); document.write( "\r\n" ); document.write( " You take it from the condition, using the introduced variables.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Now you have this single equation and simplify it step by step\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " x - 4 = 4x - 64\r\n" ); document.write( "\r\n" ); document.write( " 64 - 4 = 4x - x\r\n" ); document.write( "\r\n" ); document.write( " 60 = 3x\r\n" ); document.write( "\r\n" ); document.write( " x = 20.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. Susan is 20 years old now. Raymond is 12 years younger, i.e. 20=12 = 8 years old.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "----------------\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them and become an expert in solving age problems.\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this online textbook under the topic \"Age word problems\".\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r \n" ); document.write( " \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 \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |