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MATH / If aequiv 16pmod{37} and bequiv 21pmod{37}, then for what integer n in the set {0,1,2,…,35,36} is it true that a-bequiv npmod{37}~?

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problem

If $a\equiv 16\pmod{37}$ and $b\equiv 21\pmod{37}$, then for what integer nn in the set {0,1,2,…,35,36}\{0,1,2,\ldots,35,36\} is it true that $$a-b\equiv n\pmod{37}~?$$
Plain-text mathematical notation (without MathML)
If $a\equiv 16\pmod{37}$ and $b\equiv 21\pmod{37}$, then for what integer n in the set {0,1,2,…,35,36} is it true that $$a-b\equiv n\pmod{37}~?$$
Original LaTeX notation
If $a\equiv 16\pmod{37}$ and $b\equiv 21\pmod{37}$, then for what integer $n$ in the set $\{0,1,2,\ldots,35,36\}$ is it true that $$a-b\equiv n\pmod{37}~?$$

level

Level 3

type

Number Theory

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Source and history

task_id
f7f62b8d-db19-5531-a7e6-e7e657f773d1
task_key
number~5ftheory--test--f7f62b8d-db19-5531-a7e6-e7e657f773d1
task_revision_id
1
config / split
number_theory / test

Official source

initial import