How many 2 - digit numbers are divisible by 3?

To Find : 2 - digit numbers divisible by 3.


First 2 - digit number divisible by 3 is 12


Second 2 - digit number divisible by 3 is 15 and


Last 2 - digit number divisible by is 99.


Given: The AP is 12, 15, 18,…………..,99


a1 = 12, a2 = 15, d = 15–12 = 3 and an = 99


(Where a=a1 is First term, a2 is Second term, an is nth term and d is common difference of given AP)


Formula Used: an = a + (n - 1)d


99 = 12 + (n - 1)3


87 = (n - 1)3


29 = (n - 1)


n = 30


So, There are total of 30 two - digit number which is divisible by 3.


1