document.write( "Question 381751: The sum of the digits of a certain two-digit number is 7. Reversing its digits increases the number by 9. what are the two equations?
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #270753 by ewatrrr(24785) $\"\"$ $\"About$

You can put this solution on YOUR website!


\n" );
document.write( "Hi,         
\n" );
document.write( "Let x and (7-x) represent the original ten and units digits respectively
\n" );
document.write( "Question states:
\n" );
document.write( "Reversing its digits increases the number by 9
\n" );
document.write( "[10x + (7-x)] + 9 = 10(7 -x) + x
\n" );
document.write( "Solving for x
\n" );
document.write( "  9x + 16  = 70 - 9x
\n" );
document.write( "  18x = 54
\n" );
document.write( "    x = 3, the original ten's dgit, the original one's digit is 4.   (7-3)\r
\n" );
document.write( "\n" );
document.write( "CHECKING our Answer
\n" );
document.write( "   34 + 9 = 43 \n" );
document.write( "

\n" );