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Junior Balkan MO
2022 Junior Balkan Mathematical Olympiad
1
2022 Junior Balkan MO, Problem 1
2022 Junior Balkan MO, Problem 1
Source: 2022 JBMO Problem 1
June 30, 2022
positive integers
algebra
number theory
inequalities
Problem Statement
Find all pairs of positive integers
(
a
,
b
)
(a, b)
(
a
,
b
)
such that
11
a
b
≤
a
3
−
b
3
≤
12
a
b
.
11ab \le a^3 - b^3 \le 12ab.
11
ab
≤
a
3
−
b
3
≤
12
ab
.
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