MathDB
Problems
Contests
National and Regional Contests
USA Contests
USA - College-Hosted Events
BMT Problems
2019 BMT Spring
4
In honor of the great Dr. Rubinstein-Salzedo... (BMT 2019 Discrete #4)
In honor of the great Dr. Rubinstein-Salzedo... (BMT 2019 Discrete #4)
Source:
May 24, 2019
Problem Statement
There exists one pair of positive integers
a
,
b
a, b
a
,
b
such that
100
>
a
>
b
>
0
100 > a > b > 0
100
>
a
>
b
>
0
and
1
a
+
1
b
=
2
35
\dfrac{1}{a} + \dfrac{1}{b} = \dfrac{2}{35}
a
1
+
b
1
=
35
2
. Find
a
+
b
a + b
a
+
b
.
Back to Problems
View on AoPS