Question 27
Juarez used the digits $1,2,3,4,5$ to write a five-digit number $\overline{abcde}$ with distinct digits. Without revealing it, he told Luciana:
- $\overline{abc}$ is divisible by $4$;
- $\overline{bcd}$ is divisible by $5$;
- $\overline{cde}$ is divisible by $3$.
Luciana said the number can be determined. Show she is right, that is, find $\overline{abcde}$.
- $\overline{abc}$ is divisible by $4$;
- $\overline{bcd}$ is divisible by $5$;
- $\overline{cde}$ is divisible by $3$.
Luciana said the number can be determined. Show she is right, that is, find $\overline{abcde}$.