Take Any Three-Digit Integer, Reverse Its Digits, and Subtract

question 148

Short Answer

Take any three-digit integer, reverse its digits, and subtract. For example, 742 − 247 = 495. The difference is divisible by 9. Prove that this must happen for all three-digit numbers abc.

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Definitions:

Organizations

Entities comprising groups of people working together toward a common goal or purpose, typically structured and managed to achieve efficiency and effectiveness.

Third Culture

A shared culture created by individuals from two different cultures interacting and creating a new, unique set of understandings and practices.

Home Culture

The set of norms, values, beliefs, and practices that a person learns and adopts in the country or community where they are born and/or raised.

Negotiators

Individuals involved in discussions aimed at reaching an agreement, each representing their own or their organization's interests.