document.write( "Question 201829This question is from textbook Algebra Structure and Method
\n" ); document.write( ": Solve usingthe 5 step method
\n" ); document.write( "When the digits of a two-digit number are reversed, the new number is 9 more than the original number, and the sum of the digits of the orginal number is 11. What is the original number? \n" ); document.write( "
Algebra.Com's Answer #152111 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
When the digits of a two-digit number are reversed, the new number is 9 more
\n" ); document.write( " than the original number, and the sum of the digits of the original number
\n" ); document.write( " is 11. What is the original number?
\n" ); document.write( ":
\n" ); document.write( "Two digits:
\n" ); document.write( "x = the 10's digit
\n" ); document.write( "y = units digit
\n" ); document.write( ":
\n" ); document.write( "The original number; 10x + y
\n" ); document.write( ":
\n" ); document.write( "\"When the digits of a two-digit number are reversed, the new number is 9 more
\n" ); document.write( " than the original number,\"
\n" ); document.write( "10y + x = 10x + y + 9
\n" ); document.write( ":
\n" ); document.write( "10y - y = 10x - x + 9
\n" ); document.write( ":
\n" ); document.write( "9y = 9x + 9
\n" ); document.write( "Simplify, divide by 9
\n" ); document.write( "y = x + 1
\n" ); document.write( ":
\n" ); document.write( "\"the sum of the digits of the original number is 11.\"
\n" ); document.write( "x + y = 11
\n" ); document.write( "Replace y with (x+1)
\n" ); document.write( "x + x + 1 = 11
\n" ); document.write( "2x = 10
\n" ); document.write( "x = 5
\n" ); document.write( "then
\n" ); document.write( "y = 5 + 1
\n" ); document.write( "y = 6
\n" ); document.write( ":
\n" ); document.write( "56 = the original number
\n" ); document.write( ":
\n" ); document.write( "Check solution in the statement:
\n" ); document.write( "\"when the digits of a two-digit number are reversed, the new number is
\n" ); document.write( " 9 more than the original number,\"
\n" ); document.write( "65 = 56 + 9 \n" ); document.write( "
\n" );