MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - Other Middle and High School Contests
Math Prize For Girls Problems
2015 Math Prize for Girls Problems
2
Math Prize 2015 Problem 2
Math Prize 2015 Problem 2
Source:
September 22, 2015
Problem Statement
Let
x
x
x
and
y
y
y
be real numbers such that
2
<
x
−
y
x
+
y
<
5.
2 < \frac{x - y}{x + y} < 5.
2
<
x
+
y
x
−
y
<
5.
If
x
y
\frac{x}{y}
y
x
is an integer, what is its value?
Back to Problems
View on AoPS