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MATH / If a and b are integers such that abequiv 17pmod{20}, then what is the remainder when (a+10)(b+10) is divided by 20?

Problem

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problem

If aa and bb are integers such that $ab\equiv 17\pmod{20}$, then what is the remainder when (a+10)(b+10)(a+10)(b+10) is divided by 2020?
Plain-text mathematical notation (without MathML)
If a and b are integers such that $ab\equiv 17\pmod{20}$, then what is the remainder when (a+10)(b+10) is divided by 20?
Original LaTeX notation
If $a$ and $b$ are integers such that $ab\equiv 17\pmod{20}$, then what is the remainder when $(a+10)(b+10)$ is divided by $20$?

level

Level 3

type

Number Theory

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Source and history

task_id
e823de2b-c69e-5d47-a466-7bc231e2d43d
task_key
number~5ftheory--test--e823de2b-c69e-5d47-a466-7bc231e2d43d
task_revision_id
1
config / split
number_theory / test

Official source

initial import