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MATH / A particular number written in base 3 requires three digits (___₃). When the number is written in base 3 and 4, the digits are the reverse of each other. What is this number expres…

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problem

A particular number written in base 3 requires three digits (___3{\_ \_ \_}_3). When the number is written in base 3 and 4, the digits are the reverse of each other. What is this number expressed in base 10?
Plain-text mathematical notation (without MathML)
A particular number written in base 3 requires three digits (___₃). When the number is written in base 3 and 4, the digits are the reverse of each other. What is this number expressed in base 10?
Original LaTeX notation
A particular number written in base 3 requires three digits (${\_ \_ \_}_3$). When the number is written in base 3 and 4, the digits are the reverse of each other. What is this number expressed in base 10?

level

Level 5

type

Number Theory

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Source and history

task_id
7646dee5-b23b-5d41-ab89-2b2d1e89e920
task_key
number~5ftheory--test--7646dee5-b23b-5d41-ab89-2b2d1e89e920
task_revision_id
1
config / split
number_theory / test

Official source

initial import