document.write( "Question 902968: Which of the following is the smaller of two positive integers whose product is 108 and whose sum is twice their difference?
\n" ); document.write( "a.12
\n" ); document.write( "b.8
\n" ); document.write( "c.6
\n" ); document.write( "d.4
\n" ); document.write( "e.3
\n" ); document.write( "

Algebra.Com's Answer #547665 by Stitch(470)\"\" \"About 
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Equation 1: \"A+%2A+B+=+108\"
\n" ); document.write( "Equation 2: \"A+%2B+B+=+2%2A%28A-B%29\"
\n" ); document.write( "------------------
\n" ); document.write( "Solve equation 1 for one of the variables
\n" ); document.write( "Equation 1: \"A+%2A+B+=+108\"
\n" ); document.write( "Divide both sides by B
\n" ); document.write( "\"A+=+108%2FB\"
\n" ); document.write( "Plug (108/B) into equation 2 for A
\n" ); document.write( "Equation 2: \"A+%2B+B+=+2%2A%28A-B%29\"
\n" ); document.write( "\"108%2FB+%2B+B+=+2%2A%28%28108%2FB%29+-+B%29\"
\n" ); document.write( "Multiply everything by B
\n" ); document.write( "\"108+%2B+B%5E2+=+2B%2A%28%28108%2FB%29+-+B%29\"
\n" ); document.write( "Multiply the 2B trough on the right hand side
\n" ); document.write( "\"108+%2B+B%5E2+=+216B%2FB+-+2B%5E2\"
\n" ); document.write( "The B's cross out
\n" ); document.write( "\"108+%2B+B%5E2+=+216cross%28B%29%2Fcross%28B%29+-+2B%5E2\"
\n" ); document.write( "\"108+%2B+B%5E2+=+216+-+2B%5E2\"
\n" ); document.write( "Add 2B^2 to both sides
\n" ); document.write( "\"108+%2B+3B%5E2+=+216\"
\n" ); document.write( "Subtract 108 from both sides
\n" ); document.write( "\"3B%5E2+=+108\"
\n" ); document.write( "Divide both sides by 3
\n" ); document.write( "\"B%5E2+=+36\"
\n" ); document.write( "Take the square root of both sides
\n" ); document.write( "\"sqrt%28B%5E2%29+=+sqrt%2836%29\"
\n" ); document.write( "\"highlight%28B+=+6%29\"
\n" ); document.write( "-------------------
\n" ); document.write( "Plug 6 into equation 1 for B
\n" ); document.write( "Equation 1: \"A+%2A+B+=+108\"
\n" ); document.write( "\"A+%2A+%286%29+=+108\"
\n" ); document.write( "Divide both sides by 6
\n" ); document.write( "\"highlight_green%28A+=+18%29\"
\n" ); document.write( "-------------------
\n" ); document.write( "Since our two integers are 6 & 18, then 6 is the smaller number.
\n" ); document.write( "
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