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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
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B
0.6, 0.9, 0.12
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C
0.3, 0.45, 0.6
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D
0.10, 0.15, 0.20
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Solution

The correct option is C 0.3, 0.45, 0.6
(2x)3+(3x)3+(4x)3=0.334125

8x3+27x3+64x3=0.334125

99x3=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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