document.write( "Question 124047: The sum of two nubers is 94. The larger number is 8 less than twice the smaller number. What is the larger number? \n" ); document.write( "
Algebra.Com's Answer #90996 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let x = larger number \n" ); document.write( "Let y = smaller number \n" ); document.write( ": \n" ); document.write( "Just write an equation for what each statement says: \n" ); document.write( ": \n" ); document.write( "The sum of two numbers is 94. \n" ); document.write( "x + y = 94 \n" ); document.write( "or \n" ); document.write( "y = (94 - x) \n" ); document.write( ": \n" ); document.write( "The larger number is 8 less than twice the smaller number. \n" ); document.write( "x = 2y - 8 \n" ); document.write( ": \n" ); document.write( "Substitute (94-x) for y in the above equation \n" ); document.write( "x = 2(94-x) - 8 \n" ); document.write( ": \n" ); document.write( "x = 188 - 2x - 8 \n" ); document.write( ": \n" ); document.write( "x + 2x = 188 - 8 \n" ); document.write( ": \n" ); document.write( "3x = 180 \n" ); document.write( "x = \n" ); document.write( "x = 60 is the larger number: \n" ); document.write( ": \n" ); document.write( "You can find the smaller number, and check the solutions in the equation: \n" ); document.write( "x = 2y - 8\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |