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Korea Junior Mathematics Olympiad
2024 Korea Junior Math Olympiad
1
Classic NT KJMO
Classic NT KJMO
Source: KJMO P1
November 9, 2024
number theory
Problem Statement
Find the number of positive integer pairs
(
x
,
y
,
z
)
(x, y, z)
(
x
,
y
,
z
)
that
1
x
+
1
+
1
y
+
2
+
1
z
+
3
=
11
12
\frac{1}{x+1}+\frac{1}{y+2}+\frac{1}{z+3}=\frac{11}{12}
x
+
1
1
+
y
+
2
1
+
z
+
3
1
=
12
11
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