document.write( "Question 1061841: I am looking for the value of the smallest positive integer X, for which the following applies: If this number increases by 10% the sum of the digits will be reduced by 11%. \n" ); document.write( "

Algebra.Com's Answer #677451 by ankor@dixie-net.com(22740) $\"\"$ $\"About$

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I am looking for the value of the smallest positive integer X, for which the following applies:
\n" ); document.write( "If this number increases by 10% the sum of the digits will be reduced by 11%.
\n" ); document.write( ":
\n" ); document.write( "Assuming it is a two digit number
\n" ); document.write( "10a + b = the digits of the number
\n" ); document.write( "the equation
\n" ); document.write( "1.1(10a+b) = .89(a + b)
\n" ); document.write( "11a + 1.1b = .89a + .89b
\n" ); document.write( "11a -.89a = .89b - 1.1b
\n" ); document.write( "10.11a = -.21b
\n" ); document.write( "Negative, I don't think this is possible \n" ); document.write( "

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