Question

Proberties: A 5-digit number has the following properties - The five digits have a sum of The Tens digit equals the Sum of the ones digit, and the hundreds digit equal the sum of the tens digit and the ones digit. The ten-thousands digit equals the sum of the other 4 digits. Guess what the ones digit is. Then find the number.

A. 1, 11111
B. 2, 22222
C. 3, 33333
D. 4, 44444

Answer 1

The mathematical properties described can only be satisfied by the number 11111, making the one-digit 1.

Step-by-step explanation:

The question is a mathematical puzzle involving properties of numbers and digit sums. According to the properties given, we know that the tens digit equals the sum of the ones digit, and the hundreds digit equals the sum of the tens digit and the ones digit. Furthermore, the ten-thousand digit equals the sum of the other four digits. Since the choices are all numbers with identical digits, the only way these properties can hold true is if the number is made up entirely of zeros, which is not an option, or if it's the number 11111. Therefore, the one digit must be 1, and the corresponding 5-digit number is 11111, which fulfills all the given properties, making option A the answer.