document.write( "Question 1006280: 1.given that three numbers form an A.P.their sum is 21,and their product is 231.find these numbers. \n" ); document.write( "
Algebra.Com's Answer #622458 by ikleyn(52794)![]() ![]() You can put this solution on YOUR website! 1. Given that three numbers form an A.P. Their sum is 21,and their product is 231.find these numbers. \n" ); document.write( "-------------------------------------------------------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let x be the middle term of this A.P.\r \n" ); document.write( "\n" ); document.write( "Then the three terms are (x-d), x and (x+d).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The sum of three is 3x = 21. Hence, x = 7.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The product of three is (7-d)*7*(7+d) = 231, or\r \n" ); document.write( "\n" ); document.write( "49-d^2 = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hence, d^2 = 49 - 33 = 16, and d = 4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The three numbers are 7-4 = 3, 7, and 7+4 = 11.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |