document.write( "Question 764875: The sum of three consecutive even numbers is 138. What is smallest of the three numbers ? \n" ); document.write( "
Algebra.Com's Answer #465790 by lenny460(1073)![]() ![]() You can put this solution on YOUR website! The sum of three consecutive even numbers is 138. What is smallest of the three numbers ? \r \n" ); document.write( "\n" ); document.write( "Let the three consecutive even numbers be:\r \n" ); document.write( "\n" ); document.write( "n\r \n" ); document.write( "\n" ); document.write( "n + 2 and\r \n" ); document.write( "\n" ); document.write( "n + 4\r \n" ); document.write( "\n" ); document.write( "Therefore:\r \n" ); document.write( "\n" ); document.write( "n + n + 2 + n + 4 = 138\r \n" ); document.write( "\n" ); document.write( "Combine like terms:\r \n" ); document.write( "\n" ); document.write( "3n + 6 = 138\r \n" ); document.write( "\n" ); document.write( "3n + 6 - 6 = 138 - 6\r \n" ); document.write( "\n" ); document.write( "6 - 6 = 0\r \n" ); document.write( "\n" ); document.write( "138 - 6 = 132\r \n" ); document.write( "\n" ); document.write( "3n = 132\r \n" ); document.write( "\n" ); document.write( "Divide each side by 3\r \n" ); document.write( "\n" ); document.write( "3n/3 = 132/3\r \n" ); document.write( "\n" ); document.write( "n = 44\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Therefore the three consecutive even numbers are:\r \n" ); document.write( "\n" ); document.write( "44, 46 and 48\r \n" ); document.write( "\n" ); document.write( "Check:\r \n" ); document.write( "\n" ); document.write( "44 + 46 = 90 + 48 = 138\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Answer:\r \n" ); document.write( "\n" ); document.write( "44\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Lennox Obuong \n" ); document.write( "Algebra Tutor \n" ); document.write( "Nairobi, Kenya \n" ); document.write( "Email: lennoxobuong@yahoo.com \n" ); document.write( " |