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National and Regional Contests
Saudi Arabia Contests
Saudi Arabia Pre-TST + Training Tests
2010 Saudi Arabia Pre-TST
4.1
4.1
Part of
2010 Saudi Arabia Pre-TST
Problems
(1)
a + bc=2010, b + ca = 250 diophantine
Source: 2010 Saudi Arabia Pre-TST 4.1
12/28/2021
Find all triples
(
a
,
b
,
c
)
(a, b, c)
(
a
,
b
,
c
)
of positive integers for which
{
a
+
b
c
=
2010
b
+
c
a
=
250
\begin{cases} a + bc=2010 \\ b + ca = 250\end{cases}
{
a
+
b
c
=
2010
b
+
c
a
=
250
diophantine
number theory
System
system of equations