How many numbers of two digit are divisible by 3?
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Answered by
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Answer:
The two digit numbers which are divisible by 3 are 30
Step-by-step explanation:
Two digit numbers which are divisible by 3 are 12,15,18, 21 … ,99
First term , a = 12, Common difference ,d = 15 - 12 = 3, an = 99
an = a + (n -1)d
99 = 12 + (n - 1) × 3
99 = 12 + 3n - 3
99 = 12 - 3 + 3n
99 = 9 + 3n
99 - 9 = 3n
90 = 3n
n = 90/3
n = 30
Hence, the two digit numbers which are divisible by 3 are 30.
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