Question

how many three digit numbers are divisible by 3​

Answer 1

Answer:

Step-by-step explanation:

How many three-digit numbers are not divisible by 3? There are 900 three-digit numbers, namely 100, 101, 102, ..., 999. The first three-digit number that is exactly divisible by 3 is 102 and the last is obviously 999. The numbers 102, 105, 108, ..., 999 form an arithmetic progression with common difference, d = 3.

Answer 2

Answer:

Stepgenerally the numbers whose sum of the digits are divisible by “3” are divisible by 3(i.e. the numbers are divisible by 3)

so the combination of three digit numbers whose sum will be there are:

so the first number of 3 digit divisible by 3 is 102 and the last number divisible by 3, of three digit number is 999

so there is an A.P. whose common difference is 3 and where the first number (i.e. a=102) and the n th number is 999.

so now the formula becomes: 999=102+(n−1).3

so, n=999−1023+1

⟹n=300 , thus there are 300 three digit number s which are divisible by 3…

Thanks-by-step explanation: