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National and Regional Contests
India Contests
India Pre-Regional Mathematical Olympiad
2015 India PRMO
14
PRMO 2015. p14.
PRMO 2015. p14.
Source:
April 9, 2024
Diophantine equation
algebra
number theory
Problem Statement
14.
14.
14.
If
3
x
+
2
y
=
985.
3^x+2^y=985.
3
x
+
2
y
=
985.
and
3
x
ā
2
y
=
473.
3^x-2^y=473.
3
x
ā
2
y
=
473.
What is the value of
x
y
?
xy ?
x
y
?
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