One of the most important question of ML Agarwal of Class10 for board examination. How many two digit numbers are divisible by 3?
Class 10 ML Agarwal (avichal publication) arithmetic progression chapter 9 question no 20(i)
Rajan@2021Guru
How many two digit numbers are divisible by 3?
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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.