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:

Schizophrenia

A chronic and severe mental disorder that affects a person's thoughts, feelings, and behavior, leading to a range of psychological symptoms, including delusions and hallucinations.

Cognitive-behavioral Therapy

A form of psychotherapy that focuses on modifying dysfunctional emotions, behaviors, and thoughts by interrogative challenge.

Schizophrenia

A mind-related illness identified by irregularities in cognition, sensory experiences, feelings, and interpersonal activities.

Positively

In an optimistic or affirmative manner, often indicating approval or the presence of a particular quality.