Question

All digits in a dropdown number are different and one of its digits is the average of all its digits. It has at least two digits. For example, 5021 is a dropdown number, but neither 4389 nor 6033 is a dropdown number. a Find the smallest dropdown number.

Answer 1

The dropdown numbers is an illustration of combination

The smallest dropdown number is 1025

How to determine the smallest dropdown number?

From the question, we have the following parameters:

• The dropdown number is 4-digit
• The digits are different.

We start counting from 1023, 1024, 1025, 1026...........

• The sum of digits in 1023 is 6, and the average is 1.5
• The sum of digits in 1024 is 7, and the average is 1.75
• The sum of digits in 1025 is 8, and the average is 2

The number 1025 satisfies the given conditions

Hence, the smallest dropdown number is 1025

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