document.write( "Question 807894: the sum of four consecutive odd numbers is 128. Then the smallest number is?
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Algebra.Com's Answer #486603 by jim_thompson5910(35256) ![]() You can put this solution on YOUR website! Let x be an integer\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So 2x is always even\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Forcing 2x + 1 to always be odd\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The next odd number after that is (2x+1)+2 = 2x + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The next odd number after that is (2x+3)+2 = 2x + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The next odd number after that is (2x+5)+2 = 2x + 7\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=======================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Add up the four integers. Then set this sum equal to 128\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(2x+1)+(2x+3)+(2x+5)+(2x+7) = 128\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+1+2x+3+2x+5+2x+7 = 128\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x+16 = 128\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x = 128-16\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "8x = 112\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 112/8\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 14\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "=======================================================\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since x = 14, we know \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+1 = 2*14 + 1 = 29\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+3 = 2*14 + 3 = 31\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+5 = 2*14 + 5 = 33\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x+7 = 2*14 + 7 = 35\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "So the four consecutive odd integers are: 29, 31, 33, 35\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The smallest number is 29 \n" ); document.write( " |