document.write( "Question 204036: The difference of two numbers is 16. Three-fourths of the larger number is 14 larger than one-half of the smaller number. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #153981 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Two numbers, x & y \n" ); document.write( "; \n" ); document.write( "The difference of two numbers is 16. \n" ); document.write( "x - y = 16 \n" ); document.write( "x = (y+16) \n" ); document.write( ": \n" ); document.write( "Three-fourths of the larger number is 14 larger than one-half of the smaller number. \n" ); document.write( ".75x = .5y + 14 \n" ); document.write( ": \n" ); document.write( "Replace x with (y+16) \n" ); document.write( ".75(y + 16) = .5y + 14 \n" ); document.write( ": \n" ); document.write( ".75y + 12 = .5y + 14 \n" ); document.write( ": \n" ); document.write( ".75y - .5y = 14 - 12 \n" ); document.write( ": \n" ); document.write( ".25y = 2 \n" ); document.write( "y = \n" ); document.write( "y = 8 \n" ); document.write( "then \n" ); document.write( "x = 8 + 16 \n" ); document.write( "x = 24\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |