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MATH / If the digits represented by A and B satisfy the following subtraction problem …

Problem

Answer published by the source. Consult the official source to check your work against its answer.

problem

If the digits represented by AA and BB satisfy the following subtraction problem $$ \begin{array}{c@{}c@{\;}c@{}c@{}c@{}c} & & & & A & B_4\\ &- & & & B & A_4\\ \cline{2-6} & & & & & 3_4\\ \end{array} $$what is the nonnegative difference of the digits represented by AA and BB?
Plain-text mathematical notation (without MathML)
If the digits represented by A and B satisfy the following subtraction problem $$ \begin{array}{c@{}c@{\;}c@{}c@{}c@{}c} & & & & A & B_4\\ &- & & & B & A_4\\ \cline{2-6} & & & & & 3_4\\ \end{array} $$what is the nonnegative difference of the digits represented by A and B?
Original LaTeX notation
If the digits represented by $A$ and $B$ satisfy the following subtraction problem $$ \begin{array}{c@{}c@{\;}c@{}c@{}c@{}c} & & & & A & B_4\\ &- & & & B & A_4\\ \cline{2-6} & & & & & 3_4\\ \end{array} $$what is the nonnegative difference of the digits represented by $A$ and $B$?

level

Level 4

type

Number Theory

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Source and history

task_id
17fc45cc-39ac-5999-b81b-407b9f8fd807
task_key
number~5ftheory--test--17fc45cc-39ac-5999-b81b-407b9f8fd807
task_revision_id
1
config / split
number_theory / test

Official source

initial import