document.write( "Question 519069: One of the digits of a two digit number is 6, whose sum is half of their
\n" ); document.write( "product, and whose product is half of the reverse order number. What is
\n" ); document.write( "the number?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #345397 by Edwin McCravy(20060)\"\" \"About 
You can put this solution on YOUR website!
One of the digits of a two digit number is 6, whose sum is half of their
\n" ); document.write( "product, and whose product is half of the reverse order number. What is
\n" ); document.write( "the number?\r
\n" ); document.write( "\n" ); document.write( "
\r\n" );
document.write( "Let t = the tens digit\r\n" );
document.write( "Let u = the ones or units digit.\r\n" );
document.write( "

\n" ); document.write( "One of the digits of a two digit number is 6.
\n" ); document.write( "
\r\n" );
document.write( "We aren't told which it is so we have to try both possibilities.\r\n" );
document.write( "\r\n" );
document.write( "Case 1:  u = 6\r\n" );
document.write( "

\n" ); document.write( "whose sum is half of their product
\n" ); document.write( "
\r\n" );
document.write( "t + 6 = \"1%2F2\"·6t\r\n" );
document.write( "\r\n" );
document.write( "t + 6 = 3t\r\n" );
document.write( "\r\n" );
document.write( "    6 = 2t\r\n" );
document.write( "\r\n" );
document.write( "    3 = t\r\n" );
document.write( "\r\n" );
document.write( "So the number is 36\r\n" );
document.write( "

\n" ); document.write( "and whose product is half of the reverse order number
\n" ); document.write( "
\r\n" );
document.write( "The product is 3*6 = 18 but 18 is not half of the reverse 63.\r\n" );
document.write( "\r\n" );
document.write( "So Case 1 is eliminated, so it's not 36.\r\n" );
document.write( "\r\n" );
document.write( "Case 2:  t = 6\r\n" );
document.write( "

\n" ); document.write( "whose sum is half of their product
\n" ); document.write( "
\r\n" );
document.write( "6 + u = \"1%2F2\"·6u\r\n" );
document.write( "\r\n" );
document.write( "12 + 2u = 6u\r\n" );
document.write( "\r\n" );
document.write( "12 = 4u\r\n" );
document.write( "\r\n" );
document.write( " 3 = u\r\n" );
document.write( "\r\n" );
document.write( "So the number is 63\r\n" );
document.write( "

\n" ); document.write( "and whose product of the half of the reverse order number
\n" ); document.write( "
\r\n" );
document.write( "The product is 6*3 = 18 and 18 is indeed half of the reverse 36.\r\n" );
document.write( "\r\n" );
document.write( "So that's it.  The number is 63.  \r\n" );
document.write( "\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );