David number

Jana and David train the addition of the decimal numbers so that each of them will write a single number and these two numbers then add up. The last example was 11.11. David's number had the same number of digits before the decimal point, the Jane's number also. David's number was written in different numbers, Jane's number had exactly two digits the same. Find the largest possible number David could write.

Correct result:

D =  0.9


D=0.9=910D=0.9=\dfrac{ 9 }{ 10 }

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