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Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2018 India PRMO
15
15
Part of
2018 India PRMO
Problems
(1)
2018 preRMO p15, 2a-b, a-2b and a+b all distinct squares
Source:
8/7/2019
Let
a
a
a
and
b
b
b
be natural numbers such that
2
a
−
b
2a-b
2
a
−
b
,
a
−
2
b
a-2b
a
−
2
b
and
a
+
b
a+b
a
+
b
are all distinct squares. What is the smallest possible value of
b
b
b
?
minimum
number theory
Perfect Squares
Perfect Square