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How many two digit numbers are divisible by 3?

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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)

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1 Answer

  1. 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+(n1)d=99
    12+(n1)3=99
    n=29+1=30
    Therefore, two digit numbers divisible by 3 are 30.

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