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Byju's Answer
Standard IX
Mathematics
Ratio and Proportion
If x:y=1:2,...
Question
If
x
:
y
=
1
:
2
, find the value of
(
2
x
+
3
y
)
:
(
x
+
4
y
)
A
4
:
3
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B
8
:
9
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C
2
:
9
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D
2
:
3
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Solution
The correct option is
A
8
:
9
(
2
x
+
3
y
)
:
(
x
+
4
y
)
Dividing the terms by
y
=
2
x
:
y
+
3
x
:
y
+
4
Substituting
x
:
y
=
1
:
2
=
8
9
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0
Similar questions
Q.
If
2
x
÷
3
y
=
8
and
x
y
=
4
then find the value of
4
x
2
+
9
y
2
Q.
Find each of the following products:
(i)
(
x
−
4
)
(
x
−
4
)
(ii)
(
2
x
−
3
y
)
(
2
x
−
3
y
)
(iii)
(
x
−
3
x
)
(
x
−
3
x
)
(iv)
(
1
3
x
2
−
9
)
(
1
3
x
2
−
9
)
Q.
The following are the steps involved in finding the value of X : y , if
3
x
+
4
y
2
x
+
5
y
=
4
3
.
Arrange them in sequential order from the first to the last.
1)
9
x
+
12
y
=
8
x
+
20
y
2) Given
3
x
+
4
y
2
x
+
5
y
=
4
3
3)
x
y
=
8
⇒
x
:
y
=
8
:
1
4)
3
(
3
x
+
4
y
)
=
4
(
2
x
+
5
y
)
5)
x
=
8
y
Q.
If x:y::3:5, find the ratio 4x+9y:8x+9y.
Q.
4
9
(
4
x
)
−
2
3
(
2
x
)
−
1
+
x
3
=
1
9
(
2
x
+
8
)
.
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