how many numbers between 100 to 300 divisible by 3
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Answer:
67
Explanation:
For these kinds of problems use formula,
L = A + (N - 1)*D,
Here, L is the last digit,
A is the first digit,
N is the number of digits in between, and D is the difference.
So, A = 102(after 99 this is the first number which is completely divisible by 3)
L = 300 (last number which is divisible by 3 completely in 100–300 range).
D = 3, and N we need to calculate.
So,
300 = 102+ (N - 1)* 3
300- 102 = (N-1)*3
198= (N-1) *3
66= N - 1
N = 66 +1 = 67.
So there are 67 Number which are exactly divisible by 3.
Thanks,
Hope it helps.
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