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How many two digit numbers are …

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How many two digit numbers are divisible by 3

    • Posted by Divyansh Srivastava 6 years, 9 months ago

    CBSE > Class 10 > Mathematics
    • 2 answers

    Gaurav Seth 6 years, 9 months ago

    Let two digit numbers are 10, 11, 12 , -------------99

    which are divisible by 3 are 12, 15 ...............,99.

    Here a = 12 and common dofference = 3 , an = l = 99

    nth term (tn) = a + ( n - 1) d

    ⇒ 99 = 12 + ( n - 1) 3

    ⇒ (n - 1)3 = 99 - 12 = 87

    ⇒ ( n -1) = 87 / 3

    ⇒ n - 1 = 29

    ∴ n = 30

    ∴  30 two digit numbers which are divisible by 3.

    1Thank You

    Da Ya 6 years, 9 months ago

    33

    1Thank You

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