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2016 Chandigarh RMO (ad + bc) divides each of a, b, c,d
2016 Chandigarh RMO (ad + bc) divides each of a, b, c,d
Source:
August 9, 2019
number theory
divides
divisor
Problem Statement
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
are integers such that
a
d
+
b
c
ad + bc
a
d
+
b
c
divides each of
a
,
b
,
c
a, b, c
a
,
b
,
c
and
d
d
d
. Prove that
a
d
+
b
c
=
±
1
ad + bc =\pm 1
a
d
+
b
c
=
±
1
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