The number 1089 has an interesting property. When we multiply this number by 9, as shown below,

| 1 | 0 | 8 | 9 |
| :--- | :--- | :--- | :--- |
|  |  | $\times$ | 9 |
| 9 | 8 | 0 | 1 |

we get the number 9801, which is the number 1089 with its digits written from left to right!

a) Find a five-digit number $A B C D E$ such that its multiplication by 9 is equal to the number that has the digits of $A B C D E$ written from right to left, that is,

| $A$ | $B$ | $C$ | $D$ | $E$ |
| :---: | :---: | :---: | :---: | :---: |
|  |  |  | $\times$ | 9 |
| $E$ | $D$ | $C$ | $B$ | $A$ |

b) Find all the seven-digit numbers whose multiplication by 9, as before, reverses the position of their digits.