What three-digit number has digits that sum to 18 and is divisible by each of its digits?

Category: Math · Difficulty: hard

Hint: Consider digits that add to 18 and test divisibility carefully.

Answer

Nine, nine, and zero

Explanation

Digits nine, nine, and zero sum to 18. The number 990 is divisible by 9 and 9; zero does not affect divisibility checks.

This is a hard math riddle — a tricky one that takes a little thought. The answer is Nine, nine, and zero.

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