document.write( "Question 260620: the product of two consecutive integers is 8 less than 8 times their sum. find the integers. \n" ); document.write( "

Algebra.Com's Answer #192010 by mananth(16949) $\"\"$ $\"About$

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the product of two consecutive integers is 8 less than 8 times their sum. find the integers.\r
\n" ); document.write( "\n" ); document.write( "let one number be x
\n" ); document.write( "then the other number will be x+1\r
\n" ); document.write( "\n" ); document.write( "x(x+1) is the product\r
\n" ); document.write( "\n" ); document.write( "x+(x+1) = sum of the numbers\r
\n" ); document.write( "\n" ); document.write( "8(x+x+1) = eight times their sum\r
\n" ); document.write( "\n" ); document.write( "8(x+x+1)- 8 (less 8)\r
\n" ); document.write( "\n" ); document.write( "x(x+1) = 8(x+x+1)-8 \r
\n" ); document.write( "\n" ); document.write( "x^2+x = 8x+8x+8-8\r
\n" ); document.write( "\n" ); document.write( "x^2 + x -16x= -8
\n" ); document.write( "x^2-15x=0
\n" ); document.write( "x(x-15)=0\r
\n" ); document.write( "\n" ); document.write( "x=0 or 15\r
\n" ); document.write( "\n" ); document.write( "x cannot be zero. so the numbers are 15, 16\r
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\n" ); document.write( "\n" ); document.write( "M Ananth-------- mananth@hotmail.com\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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