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Arithmetic Progressions

Question
CBSEENMA10007957

 

How many two digit numbers are divisible by 3.



Solution

We know, an = a + (n – 1)d
⇒ 99 = 12 + (n – 1) 3
⇒ 99 = 12 + 3n – 3
⇒ 99 = 9 + 3n
⇒ 3n = 90
⇒ n = 30Hence, there are 30 two-digit numbers which are divisible by 3.