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IMAS 2022–2023 Junior Division — First Round Question 13

IMAS · IMAS 2022–2023 Junior Division — First Round

Question 13

In the base ten number system, the number $379_{10}$ means $3\times10^2+7\times10+9$.
In the base $r$ number system, where $r$ is a positive integer, if the equation $1020_r-460_r=230_r$ holds, then what is the value of $r$?
  1. 3
  2. 4
  3. 5
  4. 6
  5. 7