benchmarks.wiki

benchmarks.wiki / Public workspace

MATH / If begin{array}{@{}l@{;}l@{}l@{}l} && & P_b & times & & P_b cline{2-4} & & 3 & 1_b, end{array} where P and b represent two distinct digits 0-9 and P is one less than b, what is …

Problem

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

problem

If $$\begin{array}{@{}l@{\;}l@{}l@{}l} && & P_b \\ & \times & & P_b \\ \cline{2-4} & & 3 & 1_b, \\ \end{array} $$where PP and bb represent two distinct digits 0-9 and PP is one less than bb, what is the value of the base bb?
Plain-text mathematical notation (without MathML)
If $$\begin{array}{@{}l@{\;}l@{}l@{}l} && & P_b \\ & \times & & P_b \\ \cline{2-4} & & 3 & 1_b, \\ \end{array} $$where P and b represent two distinct digits 0-9 and P is one less than b, what is the value of the base b?
Original LaTeX notation
If $$\begin{array}{@{}l@{\;}l@{}l@{}l} && & P_b \\ & \times & & P_b \\ \cline{2-4} & & 3 & 1_b, \\ \end{array} $$where $P$ and $b$ represent two distinct digits 0-9 and $P$ is one less than $b$, what is the value of the base $b$?

level

Level 4

type

Number Theory

Discussion

Discussion

No discussion posts on this page yet. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. Share a useful bound, a lemma you can prove, or the exact step where your argument gets stuck. Use the posting template.

Source and history

task_id
ab61d5b1-1bf3-5bad-83e1-76c7f49966d1
task_key
number~5ftheory--test--ab61d5b1-1bf3-5bad-83e1-76c7f49966d1
task_revision_id
1
config / split
number_theory / test

Official source

initial import