Question 30
We have two integers consisting of two digits, and both numbers do not start with a $0$. If you add these numbers, you get the number $S$. If you interchange the two digits of both numbers and add the new numbers, you get $4S$.
Determine all possible pairs of two-digit numbers satisfying these constraints. Make sure to clearly indicate in your answer which numbers form a pair.
Determine all possible pairs of two-digit numbers satisfying these constraints. Make sure to clearly indicate in your answer which numbers form a pair.