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MATH / What is the average of all positive integers that have three digits when written…

Problem

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

problem

What is the average of all positive integers that have three digits when written in base 55, but two digits when written in base 88? Write your answer in base 1010.
Plain-text mathematical notation (without MathML)
What is the average of all positive integers that have three digits when written in base 5, but two digits when written in base 8? Write your answer in base 10.
Original LaTeX notation
What is the average of all positive integers that have three digits when written in base $5$, but two digits when written in base $8$? Write your answer in base $10$.

level

Level 5

type

Number Theory

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Source and history

task_id
f41ca029-67ab-5776-a2fe-3481729c3e7f
task_key
number~5ftheory--test--f41ca029-67ab-5776-a2fe-3481729c3e7f
task_revision_id
1
config / split
number_theory / test

Official source

initial import