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2021 LMT Spring
B7
2021 Spring LMT Division B Problem 7
2021 Spring LMT Division B Problem 7
Source:
January 22, 2022
algebra
Problem Statement
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
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