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National and Regional Contests
Bosnia Herzegovina Contests
JBMO TST - Bosnia and Herzegovina
2004 Bosnia and Herzegovina Junior BMO TST
3
3
Part of
2004 Bosnia and Herzegovina Junior BMO TST
Problems
(1)
value of w =a/b+c/d
Source: 2004 Bosnia & Herzegovina JBMO TST p3
5/27/2020
Let
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
be reals such that
a
b
+
b
c
+
c
d
+
d
a
=
7
\frac{a}{b}+\frac{b}{c}+\frac{c}{d}+\frac{d}{a}= 7
b
a
+
c
b
+
d
c
+
a
d
=
7
and
a
c
+
b
d
+
c
a
+
d
b
=
12
\frac{a}{c}+\frac{b}{d}+\frac{c}{a}+\frac{d}{b}= 12
c
a
+
d
b
+
a
c
+
b
d
=
12
. Find the value of
w
=
a
b
+
c
d
w =\frac{a}{b}+\frac{c}{d}
w
=
b
a
+
d
c
.
algebra
Sum
Fractions