Question

What is the smallest number with distinct digits whose digits add up to 45?

• A. 123555789
• B. 123457869
• C. 123456789
• D. 99999

Hint:

When asked to form the smallest number with given digits, always arrange the digits in ascending order.

Answer 1

The Correct Option is C

Step 1: The maximum sum of distinct digits is obtained by adding digits from 1 to 9:
\[ 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 = 45. \]
Step 2: Therefore, the number must use all digits from 1 to 9 exactly once.
Step 3: To get the smallest number, arrange these digits in ascending order: \(123456789\).
Final Answer: \(\boxed{123456789}\).