document.write( "Question 773480: The difference of two numbers is 36. The larger is 6 less than 4 times the smaller. What are the two numbers? \n" ); document.write( "
Algebra.Com's Answer #471594 by pakhi(24) You can put this solution on YOUR website! Let the numbers be 'x' and 'y'. \n" ); document.write( "Let 'x' be the larger number. \n" ); document.write( " \n" ); document.write( "So x - y = 36 ------------(1) \n" ); document.write( " 4y - x = 6 ------------(2)\r \n" ); document.write( "\n" ); document.write( "Rearranging equation 2 we get \n" ); document.write( " -x + 4y = 6 \n" ); document.write( " x - y = 36 ----------(1) \n" ); document.write( " ------------- \n" ); document.write( "Adding the above two equations we have \n" ); document.write( " 3y = 42 \n" ); document.write( "or y = 14\r \n" ); document.write( "\n" ); document.write( "From equation(1) x - y = 36 \n" ); document.write( " or x = 36 + y = 36 + 14 = 50\r \n" ); document.write( "\n" ); document.write( "So the numbers are 50 and 14. \n" ); document.write( " \n" ); document.write( "check: Condition 1 : 50 - 14 = 36 \n" ); document.write( " Condition 2 : 4*14 - 50 = 56 - 50 = 6\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |