document.write( "Question 253639: what three digit number made of consecutive digits is 2 less than a cube and 2 more than a square \n" ); document.write( "
Algebra.Com's Answer #185996 by Edwin McCravy(20081) You can put this solution on YOUR website! \r\n" ); document.write( "Then if x = its hundreds digit then\r\n" ); document.write( "x+1 = its tens digit and x+2 is its units digit\r\n" ); document.write( "\r\n" ); document.write( "So the number is \r\n" ); document.write( "\r\n" ); document.write( "100x + 10(x+1) + (x+2) =\r\n" ); document.write( "\r\n" ); document.write( "100x + 10x + 10 + x + 2 =\r\n" ); document.write( "\r\n" ); document.write( "111x + 12\r\n" ); document.write( "\r\n" ); document.write( "If you let x=1, you get it immediately, because\r\n" ); document.write( "\r\n" ); document.write( "111(1) + 12 = 111 + 12 = 123 \r\n" ); document.write( "\r\n" ); document.write( "and 123 + 2 = 125 = 5^3 and 123 - 2 = 121 = 11^2 \r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |