document.write( "Question 1101080: Charles is 23 years older than his sister carol. In 16 years he will be twice as old as carol. How old is each of them now? \n" ); document.write( "
Algebra.Com's Answer #715655 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let H stands for Charles, C stands for Carol.\r\n" ); document.write( "\r\n" ); document.write( "From the condition, you have these two equations:\r\n" ); document.write( "\r\n" ); document.write( "H = C + 23, (1) (\"Charles is 23 years older than his sister carol\")\r\n" ); document.write( "\r\n" ); document.write( "H + 16 = 2*(C+16). (2) (\"In 16 years he will be twice as old as carol\")\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Substitute (1) into eq(2), replacing H. You will get a single equation for C:\r\n" ); document.write( "\r\n" ); document.write( "(C+23) + 16 = 2*(C+16) ====>\r\n" ); document.write( "\r\n" ); document.write( "C + 39 = 2C + 32 ====> 39 - 32 = C ====> C = 7.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Answer. Carol is 7 years old now. Charles is 7+23 = 30 years old.\r\n" ); document.write( "\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( " - 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( " \n" ); document.write( " |