document.write( "Question 190263: The sum of two numbers is 64. Two more than twice the larger number is five less than seven times the smaller. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #142790 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two numbers, x & y; (x the largest) \n" ); document.write( ": \n" ); document.write( "The sum of two numbers is 64. \n" ); document.write( "x + y = 64 \n" ); document.write( "or \n" ); document.write( "x = (64-y) \n" ); document.write( ": \n" ); document.write( " Two more than twice the larger number is five less than seven times the smaller. \n" ); document.write( "2x + 2 = 7y - 5 \n" ); document.write( "2x = 7y - 5 - 2 \n" ); document.write( "2x = 7y - 7 \n" ); document.write( ": \n" ); document.write( " Find the numbers. \n" ); document.write( ": \n" ); document.write( "Substitute (64-y) for x in the above equation \n" ); document.write( "2(64-y) = 7y - 7 \n" ); document.write( ": \n" ); document.write( "128 - 2y = 7y - 7 \n" ); document.write( ": \n" ); document.write( "128 + 7 = 7y + 2y \n" ); document.write( ": \n" ); document.write( "135 = 9y \n" ); document.write( "y = \n" ); document.write( "y = 15 \n" ); document.write( ": \n" ); document.write( "Find x: \n" ); document.write( "x = 64 - 15 \n" ); document.write( "x = 49 \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in the statement: \n" ); document.write( "\"Two more than twice the larger number is five less than seven times the smaller.\" \n" ); document.write( "2(49) + 2 = 7(15) - 5 \n" ); document.write( "98 + 2 = 105 - 5 \n" ); document.write( " \n" ); document.write( " |