How many two-digit numbers are divisible by 6?

Two-digit numbers range from 10 to 99.

Numbers divisible by 6 start from the smallest multiple of 6 ≥ 10, which is 12, and go up to the largest multiple ≤ 99, which is 96.

So we count terms in the sequence: 12, 18, 24, ..., 96

This is an arithmetic sequence with:
First term = 12, last term = 96, common difference = 6

Number of terms:
$n = \frac{96 - 12}{6} + 1 = \frac{84}{6} + 1 = 14 + 1 = 15$

So, the answer is 15.