document.write( "Question 1151306: Five years ago, Ana was twice as old as Jamie was then. Fifteen years from now, Jamie will be as old as Ana was ten years ago. How old is Jamie now?
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document.write( "Please solve thanks! \n" );
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Algebra.Com's Answer #773013 by ikleyn(52788)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " You can easily solve the problem using systems of two equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let A be Ana's age and J be the Jamie's age.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then from the condition, you have this system of equations\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " A - 5 = 2*(J-5) (1)\r\n" ); document.write( "\r\n" ); document.write( " A - 10 = J + 15. (2)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "To solve it, express A = 2J - 10 + 5 = 2J - 5 from the first equation and then substitute it into the second equation.\r\n" ); document.write( "\r\n" ); document.write( "You will get\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (2J - 10) - 5 = J + 15,\r\n" ); document.write( "\r\n" ); document.write( " 2J - 15 = J + 15\r\n" ); document.write( "\r\n" ); document.write( " 2J - J = 15 + 15\r\n" ); document.write( "\r\n" ); document.write( " J = 30.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. Jamie is 30 years old; Ana is A = 2J-5 = 2*30-5 = 55 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( "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( " |