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Byju's Answer
Standard IX
Mathematics
Theorems on Equal Ratios
If a/b+c = b/...
Question
If
a
b
+
c
=
b
c
+
a
=
c
a
+
b
and
a
+
b
+
c
≠
0, value of
a
is
.
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Solution
As per the theorem of equivalent ratio,
a
b
+
c
=
b
c
+
a
=
c
a
+
b
=
a
+
b
+
c
b
+
c
+
c
+
a
+
a
+
b
=
a
+
b
+
c
2
(
a
+
b
+
c
)
=
1
2
⟹
a =
b
+
c
2
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0
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