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MATH / We have positive integers a, b, and c such that a>b>c. When a, b, and c are divided by 19, the remainders are 4, 2, and 18, respectively. When the number 2a+b−c is divided by 19, w…

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problem

We have positive integers a,a, b,b, and cc such that a>b>c.a > b > c. When a,a, b,b, and cc are divided by 1919, the remainders are 4,4, 2,2, and 18,18, respectively. When the number 2a+b−c2a + b - c is divided by 1919, what is the remainder?
Plain-text mathematical notation (without MathML)
We have positive integers a, b, and c such that a>b>c. When a, b, and c are divided by 19, the remainders are 4, 2, and 18, respectively.

When the number 2a+b−c is divided by 19, what is the remainder?
Original LaTeX notation
We have positive integers $a,$ $b,$ and $c$ such that $a > b > c.$ When $a,$ $b,$ and $c$ are divided by $19$, the remainders are $4,$ $2,$ and $18,$ respectively.

When the number $2a + b - c$ is divided by $19$, what is the remainder?

level

Level 4

type

Number Theory

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Source and history

task_id
d87997d4-8d26-5848-8411-3c9386c151cd
task_key
number~5ftheory--test--d87997d4-8d26-5848-8411-3c9386c151cd
task_revision_id
1
config / split
number_theory / test

Official source

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