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MATH / If m and n are integers such that 3m+4n=100, what is the smallest possible value of |m−n| ?

Problem

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problem

If mm and nn are integers such that 3m+4n=1003m + 4n = 100, what is the smallest possible value of |m−n|\left| m - n \right| ?
Plain-text mathematical notation (without MathML)
If m and n are integers such that 3m+4n=100, what is the smallest possible value of |m−n| ?
Original LaTeX notation
If $m$ and $n$ are integers such that $3m + 4n = 100$, what is the smallest possible value of $\left| m - n \right|$ ?

level

Level 2

type

Intermediate Algebra

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Source and history

task_id
f0369542-1ded-5216-b45d-8994f9207da3
task_key
intermediate~5falgebra--test--f0369542-1ded-5216-b45d-8994f9207da3
task_revision_id
1
config / split
intermediate_algebra / test

Official source

initial import