document.write( "Question 907836: If the difference between two numbers is 6, and the difference of their squares is 180, what is the sum of the numbers?
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Algebra.Com's Answer #550661 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "let's numbers be \"x\" and \"y\"\r
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\n" ); document.write( "\n" ); document.write( "If the difference between two numbers is \"6\",we have\r
\n" ); document.write( "\n" ); document.write( "\"x-y=6\"......eq.1\r
\n" ); document.write( "\n" ); document.write( " and if the difference of their squares is \"180\", \r
\n" ); document.write( "\n" ); document.write( "\"x%5E2-y%5E2=180\".............eq.2\r
\n" ); document.write( "\n" ); document.write( "you got system to solve:\r
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\n" ); document.write( "\n" ); document.write( "\"x-y=6\"......eq.1
\n" ); document.write( "\"x%5E2-y%5E2=180\".............eq.2
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\n" ); document.write( "\n" ); document.write( "\"x-y=6\"......eq.1...solve for \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=y%2B6\"......substitute in eq.2\r
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\n" ); document.write( "\n" ); document.write( "\"%28y%2B6%29%5E2-y%5E2=180\" .............eq.2...solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"y%5E2%2B12y%2B36-y%5E2=180\"\r
\n" ); document.write( "\n" ); document.write( "\"cross%28y%5E2%29%2B12y%2B36-cross%28y%5E2%29=180\"\r
\n" ); document.write( "\n" ); document.write( "\"12y=180-36\"\r
\n" ); document.write( "\n" ); document.write( "\"12y=144\"\r
\n" ); document.write( "\n" ); document.write( "\"y=144%2F12\"\r
\n" ); document.write( "\n" ); document.write( "\"y=12\"\r
\n" ); document.write( "\n" ); document.write( "now find \"x=y%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"x=12%2B6\"\r
\n" ); document.write( "\n" ); document.write( "\"x=18\"\r
\n" ); document.write( "\n" ); document.write( "check:\r
\n" ); document.write( "\n" ); document.write( "\"x-y=6\"=>\"18-12=6\"=>\"6=6\"
\n" ); document.write( "\"x%5E2-y%5E2=180\"=> \"18%5E2-12%5E2=180\"=>\"324-144=180\"=>\"180=180\"
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