document.write( "Question 515864: i dont know how to write these two equations( find four consecutive integers such that the sum of the two greater is 17 less than twice the sum of the two smallest)and (find four consecutive odd integers such that the sum of the two greatest is four times the smallest\r
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Algebra.Com's Answer #344224 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! \r \n" ); document.write( "\n" ); document.write( "i dont know how to write these two equations( find four consecutive integers such that the sum of the two greater is 17 less than twice the sum of the two smallest)and (find four consecutive odd integers such that the sum of the two greatest is four times the smallest\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "I. \n" ); document.write( "Let the smallest integer be S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the others are: S + 1, S + 2, and S + 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We therefore have: S + 2 + S + 3 = 2(S + S + 1) - 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2S + 5 = 2(2S + 1) - 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2S + 5 = 4S + 2 - 17\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2S - 4S = - 15 - 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- 2S = - 20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S, or smallest integer = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The 3 other numbers are: \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "II \n" ); document.write( "find four consecutive odd integers such that the sum of the two greatest is four times the smallest\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let the smallest odd integer be S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the others are: S + 2, S + 4, and S + 6\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "We therefore have: S + 4 + S + 6 = 4S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2S + 10 = 4S\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2S - 4S = - 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "- 2S = - 10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "S, or smallest odd integer = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The 3 other odd 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( "9 + 11 = 4(5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20 = 20 (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( " |