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Question
Three numbers are in the ratio
$2:3:4$
to one another. The sum of their cubes is
$0.334125$
. Find the numbers.
A
$0.08$
,
$0.12$
,
$0.16$
B
$0.6$
,
$0.9$
,
$0.12$
C
$0.3$
,
$0.45$
,
$0.6$
D
$0.10$
,
$0.15$
,
$0.20$
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Solution
Verified by Toppr
Correct option is C)
$(2x)_{3}+(3x)_{3}+(4x)_{3}=0.334125$
$8x_{3}+27x_{3}+64x_{3}=0.334125$
$99x_{3}=0.334125$
$x=0.15$
The three numbers are
$2(0.15)=0.3,3(0.15)=0.45or4(0.15)=0.6$
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