document.write( "Question 1153652: Jason's age is 3 times Shauna's present age.In 4 years' time, the sum of their ages will be 56 years. Find their present age \n" ); document.write( "
Algebra.Com's Answer #775913 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " It can be solved in much simpler way.\r \n" ); document.write( "\n" ); document.write( " You do not need to use the system of two equations.\r \n" ); document.write( "\n" ); document.write( " One equation is totally enough.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let x be the Shauna's age;\r\n" ); document.write( "\r\n" ); document.write( "then the Jason's age is 3x years.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "In 4 years time, the Shauna's age will be (x+4) years, while the Jason's age will be (3x+4) years.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The condition says\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " (x+4) + (3x+4) = 56 years.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "It is your basic equation. Simplify it and solve for x\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 4x + 8 = 56\r\n" ); document.write( "\r\n" ); document.write( " 4x = 56 - 8 = 48\r\n" ); document.write( "\r\n" ); document.write( " 4x = 48\r\n" ); document.write( "\r\n" ); document.write( " x =\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " You even may to solve the problem MENTALLY.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "In 4 years, the sum of their ages will be 56 ---- hence, the sum of their ages now is 56-4-4 = 48 years.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "At the same time, Jason's age is 3 times Shauna's age --- hence, they are 12 and 36 years,\r\n" ); document.write( "and this simple calculation you can do in your mind (!), obtaining the SAME ANSWER.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Surely, both solutions use the same logic.\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( "\n" ); document.write( " \n" ); document.write( " |