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MathNet 2017-part-02 — 176 problems (EN–VI) Question 82

Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)

Question 82

Positive integer $b$ is obtained by reordering the digits in a positive integer $a$. Which of the following claims are definitely true?

a) The sums of the digits of numbers $2a$ and $2b$ are equal.
b) The sums of the digits of numbers $3a$ and $3b$ are equal.
c) The sums of the digits of numbers $5a$ and $5b$ are equal.