document.write( "Question 1124276: June‘s father is six times as old as June the sum of their ages is no less than 77 what is the youngest age June can be \n" ); document.write( "
Algebra.Com's Answer #740622 by Theo(13342) You can put this solution on YOUR website! i believe 11.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "her father would have to be 6 * 11 = 66\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "66 and 11 = 77.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you would solve as follows:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that the father is 6 times as old as june.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let F = the father's age. \n" ); document.write( "let J = june's age\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation for that is F = 6J.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you are given that the sum of their ages is no less than 77.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation for that is F + J >= 77\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your two equations that need to be solved simultneously are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F = 6J \n" ); document.write( "F + J >= 77\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since F = 6J from the first equation, replace F with 6J in the second equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6J + J >= 77\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "combine like terms to getr 7J >= 77\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of that equation by 7 to get J >= 11.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the youngest june can be is 11 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that makes her father 6 * 11 = 66\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that makes the sum of their ages equal to 66 + 11 = 77.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |