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  • How many two digits numbers are divisible by 3.?​

How many two digits numbers are divisible by 3.?​

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best_answer

 The multiples of 3 is 3, 6, 9, 12, 15, 18, 21, 24, 27, 30.....99

The lowest two-digit number is 12.

The highest two-digit number is 99

Using

a_n=a+(n-1)d\\ \Rightarrow 99=12+(n-1)3\\ \Rightarrow 99 - 12 = 3n - 3\\ \Rightarrow 87 + 3 = 3n\\ \Rightarrow 90 = 3n\\ \Rightarrow n=30

Therefore, there are 30 two digits divisible by 3.

Posted by

avinash.dongre

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