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Problem 1
2020 CVM - Problem 1
2020 CVM - Problem 1
Source:
July 16, 2020
algebra
Problem Statement
How many numbers
a
b
c
‾
\overline{abc}
ab
c
with
a
,
b
,
c
>
0
a,b,c>0
a
,
b
,
c
>
0
there exists such that
c
b
a
‾
∣
a
b
c
‾
\overline{cba}\mid \overline{abc}
c
ba
∣
ab
c
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
1.1.
<
/
s
p
a
n
>
<span class='latex-bold'>1.1.</span>
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
1.1.
<
/
s
p
an
>
The vertical line denotes that
c
b
a
‾
\overline{cba}
c
ba
divides
a
b
c
‾
.
\overline{abc}.
ab
c
.
Proposed by Roger Carranza, Choluteca
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