document.write( "Question 185142: THE SUM OF THE DIGITS OF A TWO-DIGIT NUMBER IS 12.
\n" ); document.write( "IF THE DIGITS ARE REVERSED THE NEW NUMBER IS 18 LESS THAN THE ORIGINAL NUMBER.
\n" ); document.write( "FIND THE ORIGINAL NUMBER. \n" ); document.write( "

Algebra.Com's Answer #138887 by vleith(2983) $\"\"$ $\"About$

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Let the number be N and the two digits be x and y\r
\n" ); document.write( "\n" ); document.write( " $\"10%2Ax+%2B+y+=+N\"$
\n" ); document.write( " $\"y+=+N+-+10x\"$
\n" ); document.write( " $\"10%2Ay+%2B+x+=+N+-+18\"$
\n" ); document.write( " $\"10%2A%28N-10x%29+%2B+x+=+N+-18\"$
\n" ); document.write( " $\"10N+-+99x+=+N+-18\"$
\n" ); document.write( " $\"%289N+%2B18%29%2F99+=+x\"$
\n" ); document.write( " $\"x+%2B+y+=+12\"$
\n" ); document.write( " $\"x+%2B+N+-10x+=+12\"$
\n" ); document.write( " $\"-9x+=+12-N\"$
\n" ); document.write( " $\"-9%2A%289N%2B18%29%2F99+=+12+-+N\"$
\n" ); document.write( " $\"-9N+-+18+=+132+-+11N\"$
\n" ); document.write( " $\"2N+=+150\"$
\n" ); document.write( " $\"N+=+75\"$ \r
\n" ); document.write( "\n" ); document.write( "Check yor answer., is the sum of the digits 12? Is the difference between 75 and 57 equal to 18?\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

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