How many 2 - digit numbers are divisible by 7?

Question:

How many 2 - digit numbers are divisible by $7 ?$

Solution:

The first 2 digit number divisible by 7 is 14, and the last 2 digit number divisible by 7 is 98, so it forms AP with common difference 7

$14, \ldots, 98$

$98=14+(n-1) \times 7$

$n=22$

 

 

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