document.write( "Question 345937: show why the following problem has no solution. find 3 consecutive odd whole numbers whose sum is 102. \n" ); document.write( "
Algebra.Com's Answer #247394 by MathTherapy(10552)![]() ![]() You can put this solution on YOUR website! show why the following problem has no solution. find 3 consecutive odd whole numbers whose sum is 102.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Let 1st number be F\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then the other 2 consecutive odd numbers are: F + 2 and F + 4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since their sum is 102, then we'll have: F + F + 2 + F + 4 = 102\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3F + 6 = 102\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3F = 96\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "F = \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This means that the 1st ODD NUMBER is 32, but because 32 is NOT an odd number but an EVEN NUMBER instead, there is NO solution. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "As such, NO 3 WHOLE CONSECUTIVE ODD NUMBERS sum to 102. \n" ); document.write( " |