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AMO · 2027 · Grades 4-5 · Self-study SET 28 Question 14

AMO

Question 14

A five-digit number satisfies all these conditions:
- It is a multiple of 3 and 5.
- Its third digit is half its first digit and one less than its second digit.
- The first three digits sum to 13 and the last three digits sum to 8.
- Its fourth digit is the second-largest digit in the number.
Find the sum of its digits.

Enter one whole number, without units.