document.write( "Question 770469: Digits Problem:\r
\n" ); document.write( "\n" ); document.write( "The units digit of a two-digit number is 3 more than the tens digit. Write all such numbers that are possible. Which of these will be 27 larger than the original number when the digit are reversed?
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Algebra.Com's Answer #469539 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
If \"+t+\" = tens digit, and
\n" ); document.write( "\"+u+\" = units digit, then
\n" ); document.write( "\"+u+=+t+%2B+3+\"
\n" ); document.write( "The tens digit can't be negative, so
\n" ); document.write( "\"+u+=+0+\" is not allowed
\n" ); document.write( "\"+u+=+1+\" is not allowed
\n" ); document.write( "\"+u+=+2+\" is not allowed
\n" ); document.write( "Also, the tens digit can't be \"+0+\", so
\n" ); document.write( "\"+u+=+3+\" is not allowed
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\n" ); document.write( "The numbers I'm left with that
\n" ); document.write( "satisfy the equation are:
\n" ); document.write( "14
\n" ); document.write( "25
\n" ); document.write( "36
\n" ); document.write( "47
\n" ); document.write( "58
\n" ); document.write( "69
\n" ); document.write( "--------
\n" ); document.write( "The 2nd part says:
\n" ); document.write( "\"+10t+%2B+u+%2B+27+=+10u+%2B+t+\"
\n" ); document.write( "( note that \"+10t+%2B+u+\" is the actual value of the number )
\n" ); document.write( "\"+10u+-+u+-+10t+%2B+t+=+27+\"
\n" ); document.write( "\"+9u+-+9t+=+27+\"
\n" ); document.write( "\"+u+-+t+=+3+\"
\n" ); document.write( "\"+u+=+t+%2B+3+\"
\n" ); document.write( "-------------
\n" ); document.write( "This is telling me that all the
\n" ); document.write( "numbers I wrote down satisfies
\n" ); document.write( "this condition
\n" ); document.write( "I will check that
\n" ); document.write( "\"+14+%2B+27+=+41+\"
\n" ); document.write( "\"+41+=+41+\"
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\n" ); document.write( "\"+25+%2B+27+=+52+\"
\n" ); document.write( "\"+52+=+52+\"
\n" ); document.write( "------------
\n" ); document.write( "\"+36+%2B+27+=+63+\"
\n" ); document.write( "\"+63+=+63+\"
\n" ); document.write( "-------------
\n" ); document.write( "You can check the rest\r
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