Find the number of 2 digit numbers which are exactly divisible by 3 ........

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Find the number of 2-digit numbers which are exactly divisible by 3.

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Explanation:

The two digit numbers are 10, 11, 12,...,99
The 1st two digit number that is exactly divisible by 3 is 12
and the last two digit number that is exactly divisible by 3 is 99.
Then the two digit numbers that are divisible by 3 are 12,15,...,99.
This is an A.P where a = 12, d = 3 and t(n) = 99
Then t(n) = a + (n-1)d
99 = 12 +(n-1)3
33 = 4 + n - 1
n = 30.