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If \(P344_{6} - 23P2_{6} = 2PP2_{6}\), find the value of the digit P.

Mathematics
JAMB 2000

If \(P344_{6} - 23P2_{6} = 2PP2_{6}\), find the value of the digit P.

  • A. 2
  • B. 3
  • C. 4
  • D. 5
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Correct Answer: Option D
Explanation

Convert everything to base 10 and collect like terms, such that

\(210P - 42P = 434 + 406\)

\(168P = 840\)

\(P = 840/168 = 5\)

There is an explanation video available below.

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Explanation Video

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