document.write( "Question 1062764: Find two numbers whose sum and difference is 39 and 7 \n" ); document.write( "

Algebra.Com's Answer #677745 by math_helper(2461) $\"\"$ $\"About$

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$\"+x+%2B+y+=+39++\"$
\n" ); document.write( " $\"+x+-+y+=+7+\"$ (x is assumed to be the larger number)\r
\n" ); document.write( "\n" ); document.write( "Add the two equations to get:
\n" ); document.write( " $\"++2x+%2B+0y+=+46+\"$
\n" ); document.write( "Divide both sides by 2:
\n" ); document.write( " $\"++x+=+46%2F2+=+23+\"$ \r
\n" ); document.write( "\n" ); document.write( "Solve for y: $\"+23+-+y+=+7+\"$ —> $\"+y+=+16+\"$
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\n" ); document.write( " Ans: the two numbers are $\"+highlight%2823%29+\"$ and $\"+highlight%2816%29+\"$
\n" ); document.write( "—\r
\n" ); document.write( "\n" ); document.write( "Check: 23+16 = 39 (ok)
\n" ); document.write( " 23-16 = 7 (ok)\r
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\n" ); document.write( "Solution using just one variable 'x'\r
\n" ); document.write( "\n" ); document.write( "x + (x-7) = 39
\n" ); document.write( "2x - 7 = 39
\n" ); document.write( "2x = 46
\n" ); document.write( "x = $\"+highlight+%2823%29+\"$
\n" ); document.write( "x-7 = $\"+highlight%2816%29+\"$ \r
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