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Purple Comet Problems
2005 Purple Comet Problems
19
19
Part of
2005 Purple Comet Problems
Problems
(1)
Problem 19, Spring 2005 , HS
Source:
6/23/2011
Let
x
x
x
and
y
y
y
be integers satisfying both
x
2
−
16
x
+
3
y
=
20
x^2 - 16x + 3y = 20
x
2
−
16
x
+
3
y
=
20
and
y
2
+
4
y
−
x
=
−
12
y^2 + 4y - x = -12
y
2
+
4
y
−
x
=
−
12
. Find
x
+
y
x + y
x
+
y
.
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