Question

What number am I?
I am an even number less than $100$
One of my factor is $13$
My digits are $1$ apart.

Answer 1

According to the question statements, the required number is even, less than $100$, multiple of $13$ and digits are $1$ apart.
The multiples of $13$ less than $100$ are: $13,26,39,52,65,78,\mathrm{and}91$
The even numbers among these multiples are: $26,52,\mathrm{and}78$
Now, according to the third condition, the digits of required number is $1$ apart that is in $78$, the difference between $7\mathrm{and}8$ is $1$.
Thus, the required number is $78$.