How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

# How many natural numbers are there between 23 and 100 which are exactly divisible by 6 ?

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## Dheeru8089

Required numbers are 24, 30, 36, 42, …, 96

This is an A.P. in which a = 24, d = 6 and l = 96

Let the number of terms in it be n.

Then tn = 96a + (n – 1)d = 96

24 + (n – 1) x 6 = 96

(n – 1) x 6 = 72

(n – 1) = 12

n = 13

Required number of numbers = 13.