document.write( "Question 1144975: The sum of two numbers is 84, and one of them is 12 more than the other. What are the two numbers ? \n" ); document.write( "

Algebra.Com's Answer #766135 by ajspeller(2) $\"\"$ $\"About$

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first # = $\"x\"$
\n" ); document.write( "second # = $\"x+%2B+2\"$ \r
\n" ); document.write( "\n" ); document.write( "The sum of the numbers is 84, so add the expressions\r
\n" ); document.write( "\n" ); document.write( " $\"x+%2B+%28+x+%2B+12+%29+=+84\"$ \r
\n" ); document.write( "\n" ); document.write( "Combine like terms\r
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+12+=+84\"$ \r
\n" ); document.write( "\n" ); document.write( "Begin to isolate x by subtracting 12 from both sides\r
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+12+-+12+=+84+-+12\"$ \r
\n" ); document.write( "\n" ); document.write( "Simplify\r
\n" ); document.write( "\n" ); document.write( " $\"2x+%2B+0+=+72\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"2x+=+72\"$ \r
\n" ); document.write( "\n" ); document.write( "Divide by 2 to further isolate x\r
\n" ); document.write( "\n" ); document.write( " $\"+%282x%29%2F2+=+%2872%29%2F2+\"$ \r
\n" ); document.write( "\n" ); document.write( "Simplify\r
\n" ); document.write( "\n" ); document.write( " $\"x+=+36\"$ , this is the first number\r
\n" ); document.write( "\n" ); document.write( " $\"36+%2B+12+=+48\"$ , the second number\r
\n" ); document.write( "\n" ); document.write( "CHECK:\r
\n" ); document.write( "\n" ); document.write( "The sum of the numbers should be 84\r
\n" ); document.write( "\n" ); document.write( " $\"36+%2B+48+=+84\"$
\n" ); document.write( " $\"84+=+84\"$ , Correct!
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