MathDB
Problems
Contests
National and Regional Contests
Czech Republic Contests
Czech and Slovak Olympiad III A
2002 Czech and Slovak Olympiad III A
1
1
Part of
2002 Czech and Slovak Olympiad III A
Problems
(1)
Solve in integers: (multiple of 'k' closest to 'n')
Source: Czech and Slovak MO, 2002
9/15/2012
Solve the system
(
4
x
)
5
+
7
y
=
14
(
2
y
)
5
−
(
3
x
)
7
=
74
(4x)_5+7y=14 \\ (2y)_5 -(3x)_7=74
(
4
x
)
5
+
7
y
=
14
(
2
y
)
5
−
(
3
x
)
7
=
74
in the domain of integers, where
(
n
)
k
(n)_k
(
n
)
k
stands for the multiple of the number
k
k
k
closest to the number
n
n
n
.
algebra
function
domain
number theory unsolved
number theory