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1
(a+1)/3=(b+2)/4=5/(c+3) diophantine 2019 Romania District VII p1
(a+1)/3=(b+2)/4=5/(c+3) diophantine 2019 Romania District VII p1
Source:
September 1, 2024
algebra
number theory
Diophantine equation
Diophantine Equations
Problem Statement
Determine the integers
a
,
b
,
c
a, b, c
a
,
b
,
c
for which
a
+
1
3
=
b
+
2
4
=
5
c
+
3
\frac{a+1}{3}=\frac{b+2}{4}=\frac{5}{c+3}
3
a
+
1
=
4
b
+
2
=
c
+
3
5
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