document.write( "Question 894886: Find two numbers whose sum is 11 and whose difference between their squares is 33?
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Algebra.Com's Answer #542430 by Fombitz(32388) $\"\"$ $\"About$

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$\"A%2BB=11\"$
\n" ); document.write( " $\"A%5E2-B%5E2=33\"$
\n" ); document.write( "Substituting,
\n" ); document.write( " $\"%2811-B%29%5E2-B%5E2=33\"$
\n" ); document.write( " $\"121-22B%2BB%5E2-B%5E2=33\"$
\n" ); document.write( " $\"-22B%2B121=33\"$
\n" ); document.write( " $\"-22B=33-121\"$
\n" ); document.write( " $\"-22B=-88\"$
\n" ); document.write( " $\"B=4\"$
\n" ); document.write( "Then,
\n" ); document.write( " $\"A%2B4=11\"$
\n" ); document.write( " $\"A=7\"$
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