document.write( "Question 88159: The tens digit of a number exceeds the units digit by 2. The sum of the digits is 1/7 of the number. What is the number? \n" ); document.write( "

Algebra.Com's Answer #64001 by longjonsilver(2297) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let the number be written as xy where x is the number of tens and y is the number of units.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Mathematically, the number is 10x+y\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "So, $\"+x-y+=+2+\"$ --1
\n" ); document.write( "and $\"+x%2By+=+%281%2F7%29%2810x%2By%29+\"$ --2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Simplifying eq2:
\n" ); document.write( " $\"+7%28x%2By%29+=+10x%2By+\"$
\n" ); document.write( " $\"+7x%2B7y+=+10x%2By+\"$
\n" ); document.write( " $\"+6y+=+3x+\"$
\n" ); document.write( "or $\"+2y+=+x+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--1 is $\"+x-y+=+2+\"$ which then becomes $\"+2y-y+=+2+\"$
\n" ); document.write( " $\"+y+=+2+\"$ \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so using $\"+2y+=+x+\"$ and knowing that y=2, we get x=4\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "--> number is 42\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "cheers
\n" ); document.write( "Jon.
\n" ); document.write( " \n" ); document.write( "

\n" );