document.write( "Question 1042605: Sam is 5 years older than Beth. In 2 years, Sam will be two times the age of Beth. How old is Sam? \n" ); document.write( "
Algebra.Com's Answer #657689 by ikleyn(52782)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Sam is 5 years older than Beth. In 2 years, Sam will be two times the age of Beth. How old is Sam? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let S be Sam's present age, B be Beth's present age.\r\n" ); document.write( "Then \r\n" ); document.write( "\r\n" ); document.write( "S = B + 5, (1) ( \"Sam is 5 years older than Beth\")\r\n" ); document.write( "S + 2 = 2*(B+2). (2) ( \"In 2 years, Sam will be two times the age of Beth\")\r\n" ); document.write( "\r\n" ); document.write( "To solve this system, substitute the expression S = B+5 of (1) into equation (2). You will get\r\n" ); document.write( "\r\n" ); document.write( "(B+5) + 2 = 2*(B+2).\r\n" ); document.write( "\r\n" ); document.write( "Now simplify and solve this equation for B:\r\n" ); document.write( "\r\n" ); document.write( "B + 7 = 2B + 4,\r\n" ); document.write( "\r\n" ); document.write( "7 - 4 = 2B - B,\r\n" ); document.write( "\r\n" ); document.write( "3 = B.\r\n" ); document.write( "\r\n" ); document.write( "Answer. Beth is 3 years old, Sam is B + 5 = 3 + 5 = 8 years old.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "There is a bunch of lessons with solved word age problem \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( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Read them attentively and become trained in solution of these problems.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |