document.write( "Question 731026: The sum of two number is 60 and their difference is 43. What is The difference of their squares? \n" ); document.write( "

Algebra.Com's Answer #446963 by fcabanski(1391) $\"\"$ $\"About$

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Call the bigger number x and the smaller number y.

\n" ); document.write( "x+y = 60 and x-y = 43

\n" ); document.write( "From equation 1: x = 60-y. Substitute that into equation 2: 60-y-y = 43

\n" ); document.write( "60-2y = 43

\n" ); document.write( "17 = 2y

\n" ); document.write( "17/2 = y

\n" ); document.write( "x = 60-y = 60 - 17/2 = 120/2 - 17/2 = 103/2

\n" ); document.write( " $\"x%5E2+=+%28103%2F2%29%5E2+=+10609%2F4\"$

\n" ); document.write( " $\"y%5E2+=+%2817%2F2%29%5E2+=+289%2F4\"$

\n" ); document.write( "The difference of the squares is $\"x%5E2+-+y%5E2+=+10609%2F4+-+289%2F4+=+10320%2F4+=+2580\"$
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