Dear student,
A composite number is a positive integer that can be formed by multiplying two smaller positive integers. Equivalently, it is a positive integer that has at least one divisor other than 1 and itself.
The smallest two-digit number is 10.
It can be factorised as 10=2*5. Since it has factors other than 1 and itself, it is a composite number.
Therefore the smallest two-digit composite number is 10.
Regards.