document.write( "Question 268706: The larger of two numbers is 4 less than 3 times the smaller number. If 3 more than twice the larger number is decreased by twice the smaller number, the result is 11. Find the numbers. \n" ); document.write( "
Algebra.Com's Answer #196909 by dabanfield(803)\"\" \"About 
You can put this solution on YOUR website!
The larger of two numbers is 4 less than 3 times the smaller number. If 3 more than twice the larger number is decreased by twice the smaller number, the result is 11. Find the numbers.\r
\n" ); document.write( "\n" ); document.write( "Let x be the smaller number and y the larger number. Then we have:\r
\n" ); document.write( "\n" ); document.write( "1.) y = 3x - 4
\n" ); document.write( "2.) (2y + 3) - 2x = 11\r
\n" ); document.write( "\n" ); document.write( "Substitute 3x-4 for y from equation 1.) in equation 2.) and solve for x. Then calculate y = 3x-4
\n" ); document.write( "
\n" );