document.write( "Question 392434: The sum of the digits of a two digit number is 5. When the digits are reversed, the new number is 27 less than the original number. What is the original number?
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #278515 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
The sum of the digits of a two digit number is 5. When the digits are reversed, the new number is 27 less than the original number. What is the original number?
\n" ); document.write( "--------------------------
\n" ); document.write( "Let the number be 10t+u.
\n" ); document.write( "Equations:
\n" ); document.write( "t + u = 5
\n" ); document.write( "10u+t = 10t+u-27
\n" ); document.write( "---------------------
\n" ); document.write( "Rearrange:
\n" ); document.write( "t = 5-u
\n" ); document.write( "---
\n" ); document.write( "Substitute for \"t\" and solve for \"u\":
\n" ); document.write( "10u+5-u = 10(5-u)+u-27
\n" ); document.write( "9u+5 = -9u+23
\n" ); document.write( "18u = 18
\n" ); document.write( "---
\n" ); document.write( "u = 1
\n" ); document.write( "-
\n" ); document.write( "Solve for \"t\":
\n" ); document.write( "t = 5-1 = 4
\n" ); document.write( "---
\n" ); document.write( "Ans: 41
\n" ); document.write( "=================
\n" ); document.write( "Cheers,
\n" ); document.write( "stan H. \n" ); document.write( "
\n" );