document.write( "Question 1142971: What is the two‐digit number that satisfies the following conditions? The tens digit is larger than the units digit; the sum of the digits is 12; and if the digits are reversed and the resulting two‐digit number is subtracted from the original number, the difference is 18. \n" ); document.write( "

Algebra.Com's Answer #763699 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the tens digit = $\"+t+\"$
\n" ); document.write( "Let the units digit = $\"+u+\"$
\n" ); document.write( " $\"+t+%3E+u+\"$
\n" ); document.write( " $\"+t+%2B+u+=+12+\"$
\n" ); document.write( " $\"+%28+10t+%2B+u+%29+-+%28+10u+%2B+t+%29+=+18+\"$
\n" ); document.write( "-------------------------------------
\n" ); document.write( " $\"+10t+%2B+u+-+10u+-+t+=+18+\"$
\n" ); document.write( " $\"+9t+-+9u+=+18+\"$
\n" ); document.write( " $\"+t+-+u+=+2+\"$
\n" ); document.write( " $\"+t+%2B+u+=+12+\"$ ( add the equations )
\n" ); document.write( "--------------------
\n" ); document.write( " $\"+2t+=+14+\"$
\n" ); document.write( " $\"+t+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+t+%2B+u+=+12+\"$
\n" ); document.write( " $\"+7+%2B+u+=+12+\"$
\n" ); document.write( " $\"+u+=+5+\"$
\n" ); document.write( "--------------------
\n" ); document.write( "The number is 75
\n" ); document.write( "---------------------
\n" ); document.write( "check:
\n" ); document.write( " $\"+%28+10t+%2B+u+%29+-+%28+10u+%2B+t+%29+=+18+\"$
\n" ); document.write( " $\"+75+-+57+=+18+\"$
\n" ); document.write( " $\"+18+=+18+\"$
\n" ); document.write( "OK \n" ); document.write( "

\n" );