document.write( "Question 1044717: Katie is 2 years younger than her brother. In 12 years, her brother will be twice as old as she is now. How old is Katie now?
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Algebra.Com's Answer #660059 by ikleyn(52799)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Katie is 2 years younger than her brother. In 12 years, her brother will be twice as old as she is now. How old is Katie now? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "B - K = 2 (1) (\"Katie is 2 years younger than her brother\")\r\n" ); document.write( "B + 12 = 2K (2) (\"In 12 years . . . )\r\n" ); document.write( "\r\n" ); document.write( "To solve this system, express B = K + 2 from (1) and then substitute it into 2).\r\n" ); document.write( "You will get a single equation for K:\r\n" ); document.write( "\r\n" ); document.write( "(K + 2) + 12 = 2K, or\r\n" ); document.write( "\r\n" ); document.write( "K + 14 = 2K, or\r\n" ); document.write( "\r\n" ); document.write( "K = 14. \r\n" ); document.write( "\r\n" ); document.write( "Answer. Katie is 14 years now.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "For age problems, see the lessons\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( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |