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Standard IX
Mathematics
Ratio and Proportion
Question
If a + b : b + c : c + a = 6 : 7 : 8 and a + b + c = 14 then the value of c is
6
7
8
14
A
6
B
14
C
7
D
8
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Solution
Verified by Toppr
The correct option is
A
6
Let
a
+
b
=
6
k
,
b
+
c
=
7
k
a
n
d
c
+
a
=
8
k
T
h
e
n
2
(
a
+
b
+
c
)
=
6
k
+
7
k
+
8
k
=
21
k
⇒
2
×
14
=
21
k
⇒
k
=
2
×
14
21
=
4
3
A
l
s
o
a
+
b
+
c
=
21
k
2
a
n
d
a
+
b
=
6
k
⇒
c
=
21
k
2
−
6
k
=
9
2
k
=
9
2
×
4
3
=
6
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Similar Questions
Q1
If (a + b) : (b + c) : (c + a) = 6 : 7 : 8 and
a + b + c = 14, then find the value of c.
View Solution
Q2
If
(
a
+
b
)
:
(
b
+
c
)
:
(
c
+
a
)
=
6
:
7
:
8
and
(
a
+
b
+
c
)
=
14
, then the value of
c
is
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Q3
If(a+b) :(b+c) :(c+a) =6:7:8
And(a+b+c)=14 then what is the value of c.
.
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Q4
If (a+b):(b+c):(c+a)=6:7:8= and a+b+c = 14 find the value of b
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Q5
If A : B = 6 : 7 and B : C =8 : 9. Find the value of
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