document.write( "Question 514093: The sum of three consecutive even integers is 270. Find the integers \n" ); document.write( "
Algebra.Com's Answer #343309 by MathTherapy(10555)![]() ![]() You can put this solution on YOUR website! The sum of three consecutive even integers is 270. Find the integers\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the first even integer be F\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the 2nd and 3rd are F + 2, and F + 4, respectively\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since their sum is 270, then we'll have:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F + F + 2 + F + 4 = 270\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3F + 6 = 270\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3F = 270 - 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3F = 264\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F, or 1st even integer = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Second and third even integers are \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------ \n" ); document.write( "Check \n" ); document.write( "------\r \n" ); document.write( "\n" ); document.write( "88 + 90 + 92 = 270\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "170 = 170 (TRUE)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Send comments and “thank-yous” to “D” at MathMadEzy@aol.com \n" ); document.write( " |