document.write( "Question 1132650: Father is four times older than his son. In 14 years the father will be twice as old. What are their current ages? \n" ); document.write( "
Algebra.Com's Answer #749742 by ikleyn(52802)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "In English, \"four times older\" means \"five times as old as\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, if \"x\" is the son's current age, then the father's current age is 5x, according to the condition and correct interpretation.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In 14 years . . . \r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "5x + 14 = 2*(x+14)\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "5x + 14 = 2x + 28\r\n" ); document.write( "\r\n" ); document.write( "5x - 2x = 28 - 14 \r\n" ); document.write( "\r\n" ); document.write( "3x = 14 ====> x = 14/3 is not an integer number.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the problem formulation is DEFECTIVE, since the ages in the age problems are ALWAYS (TRADITIONALLY !) integer numbers.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It means that you incorrectly use and interpret this figure of speech \"four times older\".\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "I understand it VERY WELL, since myself made this mistake, until I learned the truth from other tutors at this forum.\r\n" ); document.write( "\r\n" ); document.write( "So, I wish you to IMPROVE YOUR ENGLISH in this part AS SOON AS YOU CAN.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is especially important, since you try to create your own problem/problems directly translating from your native language.\r\n" ); document.write( "\r \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 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 \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, become familiar with terminology and using words.\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( " H a p p y l e a r n i n g ! !\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |