Question

How many two digit numbers are divisible by 3?​

Answer 1

Answer:

There are exactly 30 two-digit numbers divisible by 3.

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Answer 2

Answer:

30

We know, first two digit number divisible by 3 is 12 and last two digit number divisible by 3 is 99. Thus, we get

12,15,18,...,99 which is an AP

Here, a=12,d=3

Let there be n terms. Then,

an=99

a+(n−1)d=99

12+(n−1)3=99

n=29+1=30

Therefore, two digit numbers divisible by 3 are 30.