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2021 LMT Spring
B7
B7
Part of
2021 LMT Spring
Problems
(1)
2021 Spring LMT Division B Problem 7
Source:
1/22/2022
Given that
x
x
x
and
y
y
y
are positive real numbers such that
5
x
=
y
13
=
x
y
\frac{5}{x}=\frac{y}{13}=\frac{x}{y}
x
5
=
13
y
=
y
x
, find the value of
x
3
+
y
3
x^3 + y^3
x
3
+
y
3
.Proposed by Ephram Chun
algebra