Question

What is the largest 8-digits number that is a multiple of 9, but which has no two digits the same?

Answer 1

The largest 8-digit number that is a multiple of 9,but which has no two digits the same is
87654321. It has no repeated digits and 87654321/9=9739369. 8+7+6+5+4+3+2+1=36 and 3+6=9. Thus, according to the divisibility rule of 9, the answer is correct.

Answer 2

The largest 8-digit number that is a multiple of 9,but which has no two digits the same is
87654321.

So, proof---->
87654321/9=9739369.