document.write( "Question 254303: The product of two consecutive odd integers exceeds ten times the even number between them by 95. What are the two odd integers? \n" ); document.write( "

Algebra.Com's Answer #186689 by palanisamy(496) $\"\"$ $\"About$

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Let the two consecutive odd integers be x and x+2
\n" ); document.write( "The even integer between them is x+1
\n" ); document.write( "Given,the product of two consecutive odd integers exceeds ten times the even number between them by 95
\n" ); document.write( " x(x+2) = 10(x+1)+95
\n" ); document.write( " x^2+2x = 10x+10+95
\n" ); document.write( " x^2+2x-10x-10-95 = 0
\n" ); document.write( " x^2-8x-105 = 0
\n" ); document.write( " (x-15)(x+7) = 0
\n" ); document.write( " x = 15 or -7
\n" ); document.write( "X cannot be negative.
\n" ); document.write( "Therefore x = 15.
\n" ); document.write( "So the odd integers are 15 and 17 \n" ); document.write( "

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