【Question 11】Satisfy the condition of leaving a remainder of 3 when divided by 7, leaving a remainder of 4 when divided by 9, and being less than 100. The natural numbers are

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【Question 11】Satisfy the condition of leaving a remainder of 3 when divided by 7, leaving a remainder of 4 when divided by 9, and being less than 100. The natural numbers are

(Note: The note at the bottom is not part of the translation but is provided for clarity.)
Numbers that leave a remainder of 3 when divided by 7 are: $3,10,17,24,31 \cdots$;  
Numbers that leave a remainder of 4 when divided by 9 are: $4,13,22,31 \cdots$;  
Therefore, the form of numbers that satisfy "leaving a remainder of 3 when divided by 7, and a remainder of 4 when divided by 9" is $[7,9] n+31=63 n+31$ (where $n$ is a natural number). The natural numbers within 100 that satisfy the condition are 31,94.