document.write( "Question 256284: the sum of two numbers is equal to twice their difference. If one number is 4 more than the other, find the number \n" ); document.write( "
Algebra.Com's Answer #188458 by College Student(505)\"\" \"About 
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If one number is 4 more than the other, let:
\n" ); document.write( "x = one number
\n" ); document.write( "x+4 = the other number\r
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\n" ); document.write( "\n" ); document.write( "Now, if the sum of these two numbers is equal to twice their difference, the equation then becomes: \"x%2B%28x%2B4%29=2%28x-%28x%2B4%29%29\"\r
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\n" ); document.write( "\n" ); document.write( "Now solve for x.
\n" ); document.write( "\"x%2B%28x%2B4%29=2%28x-%28x%2B4%29%29\"
\n" ); document.write( "\"2x%2B4=2%28x%2B%28-x-4%29%29\"
\n" ); document.write( "\"2x%2B4=2%28-4%29\"
\n" ); document.write( "\"2x=-8-4\"
\n" ); document.write( "\"2x=-12\"
\n" ); document.write( "\"x=-6\"\r
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\n" ); document.write( "\n" ); document.write( "Check the answer:
\n" ); document.write( "\"x%2B%28x%2B4%29=2%28x-%28x%2B4%29%29\"
\n" ); document.write( "\"-6%2B%28-6%2B4%29=2%28-6-%28-6%2B4%29%29\"
\n" ); document.write( "\"-12%2B4=2%28-6%2B6-4%29\"
\n" ); document.write( "\"-8=2%28-4%29\"
\n" ); document.write( "\"-8=-8\" The answer checks!\r
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\n" ); document.write( "\n" ); document.write( "Therefore, your numbers are -6 and -2.
\n" ); document.write( "x=-6 and x+4=-6+4=-2
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