document.write( "Question 821762: One number is six larger than another number. The square of the larger number is 132 greater than the square of the smaller number. What are the numbers? \n" ); document.write( "

Algebra.Com's Answer #494397 by jhunjiro(67) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let:
\n" ); document.write( "x = larger number
\n" ); document.write( "y = smaller number
\n" ); document.write( "-
\n" ); document.write( " $\"x=y%2B6\"$ eq 1\r
\n" ); document.write( "\n" ); document.write( " $\"x%5E2=y%5E2%2B132\"$ eq 2
\n" ); document.write( "-
\n" ); document.write( "Solution:
\n" ); document.write( "substitute eq 1 to eq 2
\n" ); document.write( " $\"%28y%2B6%29%5E2=y%5E2%2B132\"$
\n" ); document.write( "-
\n" ); document.write( " $\"y%5E2%2B12y%2B36=y%5E2%2B132\"$
\n" ); document.write( "-
\n" ); document.write( " $\"y%5E2-y%5E2%2B12y=132-36\"$
\n" ); document.write( "-
\n" ); document.write( " $\"12y=96\"$
\n" ); document.write( "-divide both sides by 12
\n" ); document.write( " $\"highlight+%28y=8%29\"$ smaller number
\n" ); document.write( "-
\n" ); document.write( " $\"x=8%2B6\"$
\n" ); document.write( " $\"highlight+%28x=14%29\"$ larger number \r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );