document.write( "Question 61953: The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum. \n" ); document.write( "
Algebra.Com's Answer #42679 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! The sum of two consecutive positive intergers is less than 92. Find the pair with the greatest sum. \n" ); document.write( "Let the numbers be x and x+1 \n" ); document.write( "EQUATION: \n" ); document.write( "x+x+1<92 \n" ); document.write( "2x+1<92 \n" ); document.write( "2x<91 \n" ); document.write( "If x is an integer 2x cannot be an odd number, \n" ); document.write( "i.e. 2x cannot be 91. \n" ); document.write( "So it must be 90 if the numbers are to have the greatest sum. \n" ); document.write( "2x=90 \n" ); document.write( "x=45 \n" ); document.write( "x+1=46 \n" ); document.write( "The greatest sum is 91. \n" ); document.write( "Cheers, \n" ); document.write( "Stan H.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |