Question

If 35a6is divisible by 3,where a is a digital what are possible values ok a?

Answer 1

1,4,7 are possible values for a

Answer 2

CORRECT QUESTION:

Given that the number 35a64 is divisible by 3, where a is a digit, what are the possible values of a?

SOLUTION:

we know that ,

The sum of digits of a number divisible by 3 is a multiple of 3.

3+5+a+6+4=3n 

=> 18+a=3n 

=> If n=6⇒3n=18

=> If n=9,3n=27

=> If n=6,7,8,9

⇒18 + a=1 8, 21, 24 ,27 

=>∴a=0,3,6,9