Question

the number of 3 digit numbers which are divisible by 9​

Answer 1

Answer:

999 is the divisible by 9

Step-by-step explanation:

this is the answer of this question

Answer 2

Hey mate ,

First 3 digit number which is divisible by 9 is 108

This can be find out by dividing first 3 digit number that is 100. the result comes and we get to know that 99 is divisible by 9 thus adding 9 to this we can get the next number which is divisible by 9 .

Last 3 digit number which is divisible by 9 is 999

this can also be find out by dividing the last 3 digit number .

Thus ,

This forms an sequence of AP = 108,117,126....999

Thus ,

a = 108

d = 9

an = 999

Thus

an = a+(n-1)d

999 = 108 +(n-1)9

891 = (n-1)9

99 = (n-1)

n = 100

Thus , Number of terms are 100 .

Hence there are 100 3digit numbers which are divisible by 9 .

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