document.write( "Question 624660: sum of three eve consecutive number is 36. find the number \n" ); document.write( "
Algebra.Com's Answer #392989 by lenny460(1073) You can put this solution on YOUR website! Let the first number be n\r \n" ); document.write( "\n" ); document.write( "Let the second number be n + 2\r \n" ); document.write( "\n" ); document.write( "Let the third number be n + 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add all the above together:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "n + n + 2 + n + 4 = 36\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "n + n + n = 3n\r \n" ); document.write( "\n" ); document.write( "2 + 4 = 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "3n + 6 = 36\r \n" ); document.write( "\n" ); document.write( "Subtract 6 from each side of the equation\r \n" ); document.write( "\n" ); document.write( "3n + 6 - 6 = 36 - 6\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "6 - 6 = 0\r \n" ); document.write( "\n" ); document.write( "36 - 6 = 30\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "3n = 30\r \n" ); document.write( "\n" ); document.write( "Divide each side by 3\r \n" ); document.write( "\n" ); document.write( "3n/3 = 30/3\r \n" ); document.write( "\n" ); document.write( "n = 10\r \n" ); document.write( "\n" ); document.write( "n + 2 = 10 + 2 = 12\r \n" ); document.write( "\n" ); document.write( "n + 4 = 10 + 4 = 14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The three consecutive even numbers are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10, 12 and 14\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "obuong3@aol.com \n" ); document.write( " |