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Surds and Indices Practice Test 2
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© examsnet.com
Question : 16
Total: 17
Given that
2
x
=
4
y
=
8
z
and
(
1
2
x
+
1
4
y
+
1
6
z
)
=
24
7
, then find the value of z.
7
64
7
48
7
32
7
16
Validate
Solution:
2
x
=
4
y
=
8
z
2
x
=
2
2
y
=
2
3
z
Hence,
x
=
2
y
=
3
z
Now,
1
2
x
+
1
4
y
+
1
6
z
=
24
7
⇒
1
6
z
+
1
6
z
+
1
6
z
=
24
7
⇒
3
6
z
=
24
7
⇒
z
=
7
48
© examsnet.com
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