Question

If the sum of the digits of a number is divisible by 3 then the number is divisible by 3. . Write the converse of the statement.

Answer 1

The converse of the statement is "If a number is divisible by 3, then the sum of the digits of that number is divisible by 3.


Hope it helps 

Answer 2

For the given statement, If the sum of the digits of a number is divisible by 3 then the number is divisible by 3.

The converse of the statement is "If a number can be divided by 3, then the sum of the digits of that number is also divisible by 3."

eg. 156 is divisible by 3.
Digital sum is 1+5+6=12
12 is also divisible by 3. 
156=100+50+6
       =(1+5+6)+(99+45)
       =(1+5+6)+3(33+15)
156 and 3(33+15) both are divisible by 3.
So, digital sum 1+5+6=12 is also divisible by 3.
So,it is possible for checking divisibility of numbers having more digits by 3.