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MATH / Suppose b and c are positive integers.

Problem

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problem

Suppose bb and cc are positive integers. When b2b^2 is written in base cc, the result is 121c121_c. When c2c^2 is written in base bb, the result is 71b71_b. What is b+cb+c?
Plain-text mathematical notation (without MathML)
Suppose b and c are positive integers.

When b² is written in base c, the result is 121_(c). When c² is written in base b, the result is 71_(b).

What is b+c?
Original LaTeX notation
Suppose $b$ and $c$ are positive integers.

When $b^2$ is written in base $c$, the result is $121_c$. When $c^2$ is written in base $b$, the result is $71_b$.

What is $b+c$?

level

Level 5

type

Number Theory

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Source and history

task_id
9daed0f5-cd7e-5098-ac1f-49a00b77f672
task_key
number~5ftheory--test--9daed0f5-cd7e-5098-ac1f-49a00b77f672
task_revision_id
1
config / split
number_theory / test

Official source

initial import