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

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by NoniLata729

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by NoniLata729

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Between 23 and 100, first number divisible by 6 = 24 and last number divisible by 6 is 96.

It forms an AP with a=24, d=6

An = 96

⇒ a + (n-1)d = 96

⇒ 24 + (n-1)6 = 96

⇒ (n-1)6 = 96 - 24 = 72

⇒ (n-1) = 72/6 = 12

⇒n = 12+1 = 13

SO there are**13** numbers between 23 and 100 divisible by 6.

It forms an AP with a=24, d=6

An = 96

⇒ a + (n-1)d = 96

⇒ 24 + (n-1)6 = 96

⇒ (n-1)6 = 96 - 24 = 72

⇒ (n-1) = 72/6 = 12

⇒n = 12+1 = 13

SO there are