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VTMO 2026 - Grade 7 - Semifinal - SET 5 - Self-study Question 3

VTMO · VTMO 2026 - Grade 7 - Semifinal - SET 5 - Self-study

Question 3

Let $A$ be the set of natural numbers satisfying both conditions:

The sum of the digits of each number is $18$.

The digits within each number are all distinct.

Let $D$ be the difference between the largest and smallest numbers in $A$. Find the sum of the digits of $D$.

Question illustration
  1. $12$
  2. $9$
  3. $18$
  4. $15$
  5. Another answer