document.write( "Question 536277: one number is 6 more than another. the difference between their squares is 120. what is the number? \n" ); document.write( "

Algebra.Com's Answer #352230 by unlockmath(1688) $\"\"$ $\"About$

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Hello,
\n" ); document.write( "Let x be one number and y represent the other.
\n" ); document.write( "We can write 2 equations from the information.
\n" ); document.write( "x=y+6
\n" ); document.write( "x^2-y^2=120
\n" ); document.write( "Now let's substitute to get:
\n" ); document.write( "(y+6)^2-y^2=120
\n" ); document.write( "Expand this out:
\n" ); document.write( "y^2 +12y + 36 - y^2 = 120
\n" ); document.write( "Simplfy:
\n" ); document.write( "12y + 36 = 120
\n" ); document.write( "Subtract 36 and divide by 12 to get:
\n" ); document.write( "y=7
\n" ); document.write( "x=13
\n" ); document.write( "Make sense?
\n" ); document.write( "RJ
\n" ); document.write( "www.math-unlock.com \n" ); document.write( "

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