document.write( "Question 1153882: Ben is six years younger than his sister. After 10 years the sum of their ages will be 50. What are their present ages? \n" ); document.write( "
Algebra.Com's Answer #776204 by ikleyn(52790)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " Since the equation is written INCORRECTLY in the post by @josgarithmetic,\r \n" ); document.write( "\n" ); document.write( " I came to bring a correct Algebra solution.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let sister's age be x; then Ben's age is (x-6).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In 10 years, their ages are (x+10) and ((x-6)+10).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "So, the equation for the total age in 10 years is\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (x+10) + ((x-6)+10) = 50.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 2x + 14 = 50\r\n" ); document.write( "\r\n" ); document.write( " 2x = 50 - 14 = 36.\r\n" ); document.write( "\r\n" ); document.write( " x = 36/2 = 18.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. The sister is 18 years old. Ben is 18-6 = 12 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( " - Miscellaneous age problems \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( " |