SOLUTION: 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%.

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%.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
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%.
:
Assuming it is a two digit number
10a + b = the digits of the number
the equation
1.1(10a+b) = .89(a + b)
11a + 1.1b = .89a + .89b
11a -.89a = .89b - 1.1b
10.11a = -.21b
Negative, I don't think this is possible
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