Question 11
We call *similar* positive integers that have exactly the same digits. For example, $1241$, $2114$, $4211$ are similar numbers, but $1424$ is not similar to the previous ones.
Decide whether there exist three similar numbers of $300$ digits each, with all their digits different from $0$, such that the sum of two of them is equal to the third. If the answer is yes, give an example, and if it is no, justify why.
Decide whether there exist three similar numbers of $300$ digits each, with all their digits different from $0$, such that the sum of two of them is equal to the third. If the answer is yes, give an example, and if it is no, justify why.