document.write( "Question 897351: The difference between a two-digit number and the number obtained by interchanging its digits is 54. If the ratio of the digit at unit's place to the digits at ten 's place is 1:3;what is the difference between the sum and the difference of the digits? \n" ); document.write( "
Algebra.Com's Answer #544147 by ankor@dixie-net.com(22740)\"\" \"About 
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let a = the 10's digit
\n" ); document.write( "Let b = the units:
\n" ); document.write( ":
\n" ); document.write( "The difference between a two-digit number and the number obtained by interchanging its digits is 54.
\n" ); document.write( "10a+b -(10b+a) = 54
\n" ); document.write( "10a + b - 10b - a = 54
\n" ); document.write( "9a - 9b = 54
\n" ); document.write( "simplify, divide by 9
\n" ); document.write( "a - b = 6
\n" ); document.write( ":
\n" ); document.write( "If the ratio of the digit at unit's place to the digits at ten 's place is 1:3;
\n" ); document.write( "\"b%2Fa\" = \"1%2F3\"
\n" ); document.write( "cross multiply
\n" ); document.write( "a = 3b
\n" ); document.write( "In the 1st simplified equation, replace a with 3b
\n" ); document.write( "3b - b = 6
\n" ); document.write( "2b = 6
\n" ); document.write( "b = 3
\n" ); document.write( "find a
\n" ); document.write( "a = 3(3)
\n" ); document.write( "a = 9
\n" ); document.write( ":
\n" ); document.write( "93 is the number
\n" ); document.write( ":
\n" ); document.write( "what is the difference between the sum and the difference of the digits?
\n" ); document.write( "(a+b) - (a-b)
\n" ); document.write( "(9+3) - (9-3)
\n" ); document.write( "12 - 6 = 6
\n" ); document.write( ":
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