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2020 ASDAN Math Tournament
4
2020 Team #4
2020 Team #4
Source:
October 24, 2023
team test
Problem Statement
There are
2
2
2
ways to write
2020
2020
2020
as a sum of
2
2
2
squares:
2020
=
a
2
+
b
2
2020 = a^2 + b^2
2020
=
a
2
+
b
2
and
2020
=
c
2
+
d
2
2020 = c^2 + d^2
2020
=
c
2
+
d
2
, where
a
a
a
,
b
b
b
,
c
c
c
, and
d
d
d
are distinct positive integers with
a
<
b
a < b
a
<
b
and
c
<
d
c < d
c
<
d
. Compute
a
+
b
+
c
+
d
a+b+c+d
a
+
b
+
c
+
d
.
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