How many numbers are there in between 55 and 4495, which are divisible by both 5 and 3?
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The first number after 55, that is divisible by 5 and 3 is 60.
The last number before 4495, that is divisible by 5 and 3 is 4485.
We have an AP whose first term is a= 60 and the last term is 4485, the common difference being 15.
Tn = a+(n-1)d, or
4485 = 60 + (n-1)*15, or
4485–60 = 4425 = (n-1)*15, or
(n-1) = 4425/15 = 295, or
n = 295+1 = 296
So the ans is 296
The last number before 4495, that is divisible by 5 and 3 is 4485.
We have an AP whose first term is a= 60 and the last term is 4485, the common difference being 15.
Tn = a+(n-1)d, or
4485 = 60 + (n-1)*15, or
4485–60 = 4425 = (n-1)*15, or
(n-1) = 4425/15 = 295, or
n = 295+1 = 296
So the ans is 296
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