document.write( "Question 115446: the sum of three consecutive odd integers is 201. Find the integers. \n" ); document.write( "
Algebra.Com's Answer #84024 by ganesh(20)![]() ![]() ![]() You can put this solution on YOUR website! Let x be an odd integers.\r \n" ); document.write( "\n" ); document.write( "When you add 2 with it, you will get the next odd integers.\r \n" ); document.write( "\n" ); document.write( "So, x + 2 is the next odd integers.\r \n" ); document.write( "\n" ); document.write( "Further if you add 2, you will get the next odd integers.\r \n" ); document.write( "\n" ); document.write( "So, x + 2 + 2 = x + 4 is the next odd integers.\r \n" ); document.write( "\n" ); document.write( "So, x, x + 2 and x + 4 are three consecutive odd integers.\r \n" ); document.write( "\n" ); document.write( "It is given that the sum of these three numbers is 201.\r \n" ); document.write( "\n" ); document.write( "Therefore, x + x + 2 + x + 4 = 20.\r \n" ); document.write( "\n" ); document.write( "Or, 3x + 6 = 201\r \n" ); document.write( "\n" ); document.write( "Or, 3x = 195\r \n" ); document.write( "\n" ); document.write( "Or, x = 195/3\r \n" ); document.write( "\n" ); document.write( "Or, x = 65\r \n" ); document.write( "\n" ); document.write( "So, x + 2 = 67, x + 4 = 69.\r \n" ); document.write( "\n" ); document.write( "Therefore, 65, 67 and 69 are the required numbers. \n" ); document.write( " |