Question

How many 3 digit number, in all are divisible by 9?

Answer 1

Hii friend,

Three digit number which is divisible by 9 are 108, 117 , 126 ,........999.

AP= 108 , 117 , 126 ..... 999.

First term (A) = 108

N = ?

Common difference (D) = 117-108 = 9

Tn = 999

A+(n-1) × D = 999

108 + (n-1) × 9 = 999

108 + 9n -9 = 999

108 + 9n = 999+9

108 +9n = 1008

9n = 1008-108

9n = 900

n = 900/9

n = 100

Hence,

100 Numbers of three digit are divisible by 9 .


HOPE IT WILL HELP YOU..... :-)