document.write( "Question 607520: the product of two positive consecutive odd intergers is 21 more than twice the larger number. What value represents the larger number?
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Algebra.Com's Answer #382764 by alicealc(293) $\"\"$ $\"About$

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smaller odd number = x
\n" ); document.write( "larger odd number = x + 2\r
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\n" ); document.write( "\n" ); document.write( "x*(x + 2) = 21 + 2*(x + 2)
\n" ); document.write( " $\"x%5E2+%2B+2x+=+21+%2B+2x+%2B+4\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+=+25+%2B+2x\"$
\n" ); document.write( " $\"x%5E2+%2B+2x+-+2x+-+25=0\"$
\n" ); document.write( " $\"x%5E2+-+25=0\"$
\n" ); document.write( "(x - 5)*(x + 5) = 0
\n" ); document.write( "x - 5 = 0 or x + 5 = 0
\n" ); document.write( "x = 5 or x = -5
\n" ); document.write( "because the number is positive, we choose x = 5
\n" ); document.write( "larger number = x + 2 = 5 + 2 = 7\r
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\n" ); document.write( "\n" ); document.write( "so, the larger number is 7\r
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