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Omni-MATH / Consider positive integers a≤b≤c≤d≤e. There are N lists a,b,c,d,e with a mean of 2023 and a median of 2023, in which the integer 2023 appears more than once, and in which no other …

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problem

Consider positive integers a≤b≤c≤d≤ea \leq b \leq c \leq d \leq e. There are NN lists a,b,c,d,ea, b, c, d, e with a mean of 2023 and a median of 2023, in which the integer 2023 appears more than once, and in which no other integer appears more than once. What is the sum of the digits of NN?
Plain-text mathematical notation (without MathML)
Consider positive integers a≤b≤c≤d≤e. There are N lists a,b,c,d,e with a mean of 2023 and a median of 2023, in which the integer 2023 appears more than once, and in which no other integer appears more than once. What is the sum of the digits of N?
Original LaTeX notation
Consider positive integers $a \leq b \leq c \leq d \leq e$. There are $N$ lists $a, b, c, d, e$ with a mean of 2023 and a median of 2023, in which the integer 2023 appears more than once, and in which no other integer appears more than once. What is the sum of the digits of $N$?

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Source and history

task_id
962bba57-4548-5346-91f6-9208531b43e6
task_key
test--962bba57-4548-5346-91f6-9208531b43e6
task_revision_id
1
config / split
/ test

Official source

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