document.write( "Question 2853: Having trouble setting this up. Do I need more information?
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document.write( "One number is two times another. Eight times the smaller is two more than twice the larger number. What are the two numbers? \n" );
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Algebra.Com's Answer #1230 by xcentaur(357) ![]() You can put this solution on YOUR website! You have all the information you need from the question itself.\r \n" ); document.write( "\n" ); document.write( "Let the numbers be x,y.\r \n" ); document.write( "\n" ); document.write( "\"One number is two times another.\"\r \n" ); document.write( "\n" ); document.write( "Then, x=2y ..................... [Statement 1]\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Now y is half of x (from statement 1). \n" ); document.write( "Therefore x>y.\r \n" ); document.write( "\n" ); document.write( "\"Eight times the smaller is two more than twice the larger number.\"\r \n" ); document.write( "\n" ); document.write( "Then, 8y = 2x + 2 .....................[Statement 2]\r \n" ); document.write( "\n" ); document.write( "Substituting (x=2y) in the second equation we get,\r \n" ); document.write( "\n" ); document.write( "8y = 2(2y) + 2 \n" ); document.write( "8y = 4y + 2 \n" ); document.write( "8y - 4y = 2 \n" ); document.write( "4y = 2 \n" ); document.write( "y = (2/4)\r \n" ); document.write( "\n" ); document.write( "Therefore, y=1/2\r \n" ); document.write( "\n" ); document.write( "x=2y => x=2(1/2) => x=1\r \n" ); document.write( "\n" ); document.write( "Therefore we get, \n" ); document.write( "x=1 \n" ); document.write( "y=(1/2)\r \n" ); document.write( "\n" ); document.write( "Solution crosscheck: \n" ); document.write( "Puttting these solved values of x and y in the 2nd equation we get, \n" ); document.write( "8(1/2) = 2(1) + 2 \n" ); document.write( "4 = 2 + 2 \n" ); document.write( "4 = 4\r \n" ); document.write( "\n" ); document.write( "As Lefthand side (LHS) and Righthand side (RHS) are equal, \n" ); document.write( "solved values of x and y are correct.\r \n" ); document.write( "\n" ); document.write( "Hope this helps, \n" ); document.write( "Best of luck. \n" ); document.write( " \n" ); document.write( " |