document.write( "Question 1098854: Find the two numbers that if subtracted from 7 and 12,the product of the two numbers gives 104 \n" ); document.write( "

Algebra.Com's Answer #713256 by ikleyn(52943) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "Find the two numbers that if subtracted from 7 and 12,the product of the two numbers gives 104
\n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Your formulation is, OBVIOUSLY, incorrect.
\n" ); document.write( "Because if accept it LITERALLY, then the problem has INFINITELY many solution.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The correct formulation is THIS:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    Find the number which if subtracted from 7 and 12, the product of the two numbers gives 104\r\n" );
document.write( "

\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Then the problem is for MENTAL solution.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "    Find two integer factors of the number 104 that multiply up 104 and differ by 12-7 = 5 units:\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    104 = 2*52 = 4*26 = 8*13 . . .     Ooops ! You just found them: they are 8 and 13.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    Thus the unknown number under the question is (-1):\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "    7 - (-1) = 8;   12 - (-1) = 13   and  8*13 = 104.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Solved.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );