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AMC (AIMO validation set) / https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_7 / Camila writes down five positive integers. The unique mode of these integers is…

Problem

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problem

Camila writes down five positive integers. The unique mode of these integers is

2

greater than their median, and the median is

2

greater than their arithmetic mean. What is the least possible value for the mode?

Plain-text mathematical notation (without MathML)

Camila writes down five positive integers. The unique mode of these integers is 2 greater than their median, and the median is 2 greater than their arithmetic mean. What is the least possible value for the mode?

Original LaTeX notation

Camila writes down five positive integers. The unique mode of these integers is $2$ greater than their median, and the median is $2$ greater than their arithmetic mean. What is the least possible value for the mode?

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Source and history

upstream_id / Original problem ID: https://artofproblemsolving.com/wiki/index.php/2022_AMC_12B_Problems/Problem_7
task_id: 1b60b0a0-6fee-53e0-a6da-e29157861e1f
task_key: default--train--https~3a~2f~2fartofproblemsolving~2ecom~2fwiki~2findex~2ephp~2f2022~5fAMC~5f12B~5fProblems~2fProblem~5f7
task_revision_id: 2
config / split: default / train

Official source

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