document.write( "Question 697469: The product of two consecutive odd integers exceeds ten times the even number between them by 95. What are the odd numbers? \n" ); document.write( "
| Algebra.Com's Answer #430050 by mananth(16946)     You can put this solution on YOUR website! let the odd numbers be x & x+2\r \n" ); document.write( "\n" ); document.write( "The product of both = x(x+2)\r \n" ); document.write( "\n" ); document.write( "10 time s the even number between them \n" ); document.write( "number between them = (x+1) \n" ); document.write( "ten times = 10(x+1) \n" ); document.write( "by 95\r \n" ); document.write( "\n" ); document.write( "x(x+2) = 10(x+1) +95\r \n" ); document.write( "\n" ); document.write( "x^2+2x=10x+10+95 \n" ); document.write( "x^2+2x-10x-105=0 \n" ); document.write( "x^2-8x-105=0 \n" ); document.write( "x^2-15x+7x-105=0\r \n" ); document.write( "\n" ); document.write( "x(x-15)+7(x-15)=0 \n" ); document.write( "(x-15)(x+7)=0\r \n" ); document.write( "\n" ); document.write( "x=15 OR x=-7 \r \n" ); document.write( "\n" ); document.write( "The numbers are 15 & 17 \n" ); document.write( "OR \n" ); document.write( "-7, -5 \n" ); document.write( " |