Find the number of all three digit natural numbers which are divisible by 9.
Answers
Answered by
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.
HOPE THIS ANSWER WILL HELP YOU...
Answered by
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
Similar questions