document.write( "Question 96059This question is from textbook
\n" ); document.write( ": 15. The sum of the digits of a two-digit number is 11. If the digits are reversed, the new number is 27 less than the original number. Find the original number. \n" ); document.write( "
Algebra.Com's Answer #69961 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let x = the 10's digit and y = the units digit:
\n" ); document.write( ":
\n" ); document.write( "just write what it says:
\n" ); document.write( "\"The sum of the digits of a two-digit number is 11.\"
\n" ); document.write( " x + y = 11
\n" ); document.write( "and
\n" ); document.write( " y = (11 - x); can use for substitution
\n" ); document.write( ":
\n" ); document.write( "\"If the digits are reversed, the new number is 27 less than the original number.
\n" ); document.write( "Original number: 10x + y
\n" ); document.write( "Reversed number: 10y + x
\n" ); document.write( ":
\n" ); document.write( "Then the equation would be:
\n" ); document.write( "(10y + x) = 10x + y - 27
\n" ); document.write( " 10y - y + x - 10x = -27
\n" ); document.write( " 9y - 9x = -27
\n" ); document.write( "Simplify, divide equation by 9
\n" ); document.write( " y - x = -3
\n" ); document.write( ":
\n" ); document.write( "Substitute (11-x) for y in the above equation
\n" ); document.write( " (11 - x) - x = -3
\n" ); document.write( " -2x = - 3 - 11
\n" ); document.write( " -2x = -14
\n" ); document.write( " x = -14/-2
\n" ); document.write( " x = +7 is the 10's digit
\n" ); document.write( ":
\n" ); document.write( "11 - 7 = 4 is the units digit
\n" ); document.write( ":
\n" ); document.write( "Check solutions
\n" ); document.write( "74 - 47 = 27
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