Considering 4 digit numbers. Where the sum of all digits is 10 and all digits are distinct.

Find the largest such 4 digit number.

The answer is 7210.

**
This section requires Javascript.
**

You are seeing this because something didn't load right. We suggest you, (a) try
refreshing the page, (b) enabling javascript if it is disabled on your browser and,
finally, (c)
loading the
non-javascript version of this page
. We're sorry about the hassle.

We want the largest digit possible for the thousands digit. So the smallest 3 distinct being 0,1, and 2. that leaves us with

$\large 0+1+2+x=10 \Rightarrow x=7$ .

Arranging the digits in numerical order from largest to smallest is 7210.