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Byju's Answer
Standard VIII
Mathematics
Solving Equations with Variables on Both Sides
If 3n2 = 4n...
Question
If
3
n
2
=
4
n
+
3
3
, then
n
=
?
A
6
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B
7
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C
9
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D
11
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E
13
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Solution
The correct option is
A
6
Given,
3
n
2
=
4
n
+
3
3
⇒
3
(
3
n
)
=
2
(
4
n
+
3
)
…[Cross-multiplying the denominators]
⇒
9
n
=
8
n
+
6
Transposing
n
terms to one side, we get,
⇒
9
n
−
8
n
=
6
⇒
n
=
6
.
Hence, option
A
is correct.
Suggest Corrections
0
Similar questions
Q.
Column II gives
n
t
h
term for AP given in column I. Match them correctly.
A.
119
,
136
,
153
,
170.....
1.
13
−
3
n
B.
7
,
11
,
15
,
19
,
.
.
.
.
.
2.
9
−
5
n
C.
4
,
−
1
,
−
6
,
−
11
,
.
.
.
.
.
3.
3
+
4
n
D.
10
,
7
,
4
,
3.....
4.
17
n
+
102
Q.
If
Δ
r
=
∣
∣ ∣ ∣
∣
r
n
6
r
2
2
n
2
4
n
−
2
r
3
3
n
3
3
n
2
−
3
n
∣
∣ ∣ ∣
∣
, then
n
−
1
∑
r
=
0
Δ
r
equals to
Q.
(
−
15
7
÷
9
11
)
÷
3
13
=
−
15
7
÷
(
9
11
÷
3
13
)
If true then enter
1
and if false then enter
0
Q.
If n is a positive integer, find the value of
2
n
−
(
n
−
1
)
2
n
−
2
+
(
n
−
2
)
(
n
−
3
)
⌊
2
−
(
n
−
3
)
(
n
−
4
)
(
n
−
5
)
⌊
3
2
n
−
6
+
.
.
.
.
.
;
and if n is a multiple of
3
,
show that
1
−
(
n
−
1
)
+
(
n
−
2
)
(
n
−
2
)
⌊
2
−
(
n
−
3
)
(
n
−
4
)
(
n
−
5
)
⌊
3
+
.
.
.
.
=
(
−
1
)
n
.
Q.
If
D
r
=
∣
∣ ∣ ∣
∣
r
−
1
n
6
(
r
−
1
)
2
2
n
2
4
n
−
2
(
r
−
1
)
3
3
n
3
3
n
2
−
3
n
∣
∣ ∣ ∣
∣
then
n
∑
r
=
1
D
r
=
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