Freeflows

Modular Arithmetic Solution 1

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?

1
2
3
+
4
5
6
-
7
8
9
$\frac{a}{b}$
.
0
=
%

$a^n$
$a^{\circ}$
$a_n$
$\sqrt{}$
$\sqrt[n]{}$
$\pi$
$\ln{}$
$\log$
$\theta$
$\sin{}$
$\cos{}$
$\tan{}$

$($
$)$
$[$
$]$
$\cap$
$\cup$
$,$
$\infty$

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