How many multiples of 9 lie between 10 and 300 ?
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Given:
The multiples of 9.
To find:
How many multiples of 9 lie between 10 and 300?
Solution:
As we have to find the multiples of 9 lie between 10 and 300,
so, a number after 10 that is a multiple of 9 is 18, similarly, a number before 300 that is a multiple of 9 is 297.
So, we get a series,
18, 27,......,297
here, a = 18, d = 27 - 18 = 9
we use the formula,
Tn = a + (n - 1) d
297 = 18 + (n - 1)9
297 = 18 + 9n - 9
288 = 9n
n = 32
Therefore, there are 32 multiples of 9 that lie between 10 and 300.
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