4 digit number

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.

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1 solution

Jerry McKenzie
Dec 28, 2017

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

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

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

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