MathDB
Problems
Contests
National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
3
3
Part of
2015 India PRMO
Problems
(1)
PRMO 2015. p3.
Source:
4/9/2024
3.
3.
3.
Positive integers
a
a
a
and
b
b
b
are such that
a
+
b
=
a
b
+
b
a
.
a+b=\frac{a}{b}+\frac{b}{a}.
a
+
b
=
b
a
+
a
b
.
What is the value of
a
2
+
b
2
?
a^2+b^2 ?
a
2
+
b
2
?
Integers
number theory
algebra