5. As shown in the figure, the sum of the three-digit number $\overline{A B C}$ and 297 is the three-digit number $\overline{C B A}$. The number of three-digit numbers $\overline{A B C}$ that satisfy the condition is $\qquad$.

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5. As shown in the figure, the sum of the three-digit number $\overline{A B C}$ and 297 is the three-digit number $\overline{C B A}$. The number of three-digit numbers $\overline{A B C}$ that satisfy the condition is $\qquad$.
[Answer] 60
[Solution] $\overline{A B C}=100 A+10 B+C, \overline{C B A}=100 C+10 B+A$. Since $\overline{A B C}+297=\overline{C B A}$, we have $100 A+10 B+C+297=100 C+10 B+A \Rightarrow 99(C-A)=297 \Rightarrow C-A=3$. Therefore, the possible pairs of $(A, C)$ are $(1,4),(2,5),(3,6),(4,7),(5,8),(6,9)$. Since there is no requirement for $B$ (it can be any number from $0 \sim 9$), each pair of $(A, C)$ will generate 10 $\overline{A B C}$. According to the multiplication principle, there are $6 \times 10=60$ in total.