Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Mathematics
Mathematics
Problem
Given
a
>
0
a > 0
a
>
0
and
b
>
0
b > 0
b
>
0
, and the inequality condition
2
17
<
a
a
+
b
<
5
21
\frac{2}{17} < \frac{a}{a + b} < \frac{5}{21}
17
2
<
a
+
b
a
<
21
5
, exactly how many distinct integer values can the ratio
b
a
\frac{b}{a}
a
b
take?
Browse the problem library