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MATH / A group of N students, where N<50, is on a field trip. If their teacher puts them in groups of 8, the last group has 5 students. If their teacher instead puts them in groups of 6, …

Problem

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problem

A group of NN students, where N<50N < 50, is on a field trip. If their teacher puts them in groups of 8, the last group has 5 students. If their teacher instead puts them in groups of 6, the last group has 3 students. What is the sum of all possible values of NN?
Plain-text mathematical notation (without MathML)
A group of N students, where N<50, is on a field trip. If their teacher puts them in groups of 8, the last group has 5 students. If their teacher instead puts them in groups of 6, the last group has 3 students. What is the sum of all possible values of N?
Original LaTeX notation
A group of $N$ students, where $N < 50$, is on a field trip. If their teacher puts them in groups of 8, the last group has 5 students. If their teacher instead puts them in groups of 6, the last group has 3 students. What is the sum of all possible values of $N$?

level

Level 4

type

Number Theory

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Source and history

task_id
25589552-0481-50d2-9fe1-3ef699742b30
task_key
number~5ftheory--test--25589552-0481-50d2-9fe1-3ef699742b30
task_revision_id
1
config / split
number_theory / test

Official source

initial import