document.write( "Question 1089455: Two years ago a woman was 7 times as old as her daughter but in three years, she will be four times as old as the girl. How old is the lady now? \n" ); document.write( "
Algebra.Com's Answer #703798 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "The correct system of equations is\r\n" ); document.write( "\r\n" ); document.write( "M - 2 = 7*(D - 2), (1)\r\n" ); document.write( "M + 3 = 4*(D + 3). (2)\r\n" ); document.write( "\r\n" ); document.write( "Simplify this system:\r\n" ); document.write( "\r\n" ); document.write( "M - 2 = 7D - 14 (1')\r\n" ); document.write( "M + 3 = 4D + 12 (2')\r\n" ); document.write( "\r\n" ); document.write( "M = 7D - 12, (1'')\r\n" ); document.write( "M = 4D + 9, (2'')\r\n" ); document.write( "\r\n" ); document.write( "====> 7D - 12 = 4D + 9 ====> 7D - 4D = 9 + 12 ====> 3D = 21 ===> D = 7.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Daughter is 7 years old now. The mother is (from (2'')) M = 4D + 9 = 4*7 + 9 = 28 + 9 = 37.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. The mother is 37 years now.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \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 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( "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( "-------- \n" ); document.write( "The solution by @josgarithmetic is WRONG.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For your safety, simply ignore it.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |