"My first and second digits are multiples of 3"

So there first and second digit maybe one of the following: 3, 6, 9

"The sum of my first two digits is 7 more than the third digit"

"D1 + D2 = 7 + D3"

"Not a multiple of 5"

means it is not ending with "5" or "0"

If D1 = 6

If D2 = 9

D3 = ?

"6 + 9 = 7 + x"

NOTE: x = digit no. 3

15 = 7 + x

15 - 7 = 7 - 7 + x

8 = x

The number is:

698

3 digit number - CHECK

3 digits are different - CHECK

1st and 2nd digit is multiple of 3 - CHECK

3rd digit is greater than 3 - CHECK

The sum of my first two digits is 7 more than the third digit - CHECK

( 6 + 9 = 7 + 8)

(15 = 15)

Not a multiple of 5 - CHECK

So therefore, the number is **698, it can also be 968 as well. **

I get it by combining some multiples of 3 (3, 6, and 9,) and I come up with 6 and 9 MATCHING ALL THE REQUIREMENTS.

I tried 3 and 6, 3 and 9, but they failed.

**:) **