document.write( "Question 2853: Having trouble setting this up. Do I need more information?
\n" ); 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?
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Algebra.Com's Answer #1230 by xcentaur(357)\"\" \"About 
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
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\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.
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