Math, asked by BrainlyHelper, 1 year ago

Find the number of all three digit natural numbers which are divisible by 9.

Answers

Answered by nikitasingh79
20

Answer:

The three digit numbers which are  divisible by 9 are 100.

Step-by-step explanation:

Three digit numbers which are  divisible by 9 are 108,117,126,… ,999

First term , a = 108, Common difference ,d  = 117 - 108 = 9 ,  an = 999

 

an = a + (n -1)d

999 = 108 + (n - 1) × 9

999 = 108 + 9n - 9

999 = 108 - 9 + 9n

999 = 99 + 9n

999 - 99 = 9n

900 = 9n

n = 900/9

n = 100

Hence,the three digit numbers which are  divisible by 9 are 100.

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Answered by Anonymous
9

Given :

an = 999

a = 108

d = 9

n = ?

Using the formula :

an = a + (n -1)d

999 = 108 + (n - 1) × 9

999 = 108 + 9n - 9

999 = 99 + 9n

900 = 9n

n = 100

Answer : 100

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