User blog comment:Top Agent PGG jr./Guess the number! (Round 2)/@comment-17897872-20140618173534

Okay, analyzing a little:

Since we know the number one exists, but cannot be in places 1, 2, 6, or 7, I will guess the following numbers with a 5 (the number five doesn't exist in this number) so we can know for sure where the 1 really exists. There should either be one yellow tick or one green tick for each answer.
 * 5515555
 * 5551555
 * 5555155

Since we know the number three exists, but cannot be in places 3, 5, 6, or 7, I will guess the following numbers with a 5 (the number five doesn't exist in this number) so we can know for sure where the 3 really exists.
 * 3555555
 * 5355555
 * 5553555

Since we know the number four exists, but cannot be in places 3, 4, 5, or 7, I will guess the following numbers with a 5 (the number five doesn't exist in this number) so we can know for sure where the 4 really exists.
 * 4555555
 * 5455555
 * 5555545

Since we know the number six exists, but cannot be in places 1, 3, 4, 5, or 6, I will guess the following numbers with a 5 (the number five doesn't exist in this number) so we can know for sure where the 6 really exists.
 * 5655555
 * 5555556

Since we know the number seven exists, but cannot be in places 3, 4, or 7, I will guess the following numbers with a 5 (the number five doesn't exist in this number) so we can know for sure where the 6 really exists.
 * 7555555
 * 5755555
 * 5555755
 * 5555575
 * 5555557

Since we know the number nine exists, but cannot be in places 1, 3, or 5, I will guess the following numbers with a 5 (the number five doesn't exist in this number) so we can know for sure where the 6 really exists).
 * 5955555
 * 5559555
 * 5555595
 * 5555559

The number can be guessed using the above guesses. When Top Agent marks which ones are green ticks and which ones are yellow ticks, the answer will be revealed.