Question

Three numbers are in the ratio 2:3:4 the sum of their cubes is 0.334125

Answer 1

Given,

ratio of three numbers = 2 : 3 : 4

let the constant ratio be ' x '

so now , the numbers are 2 x , 3 x , 4 x

since ,

we given that the sum of their cubes = 0.334125

according to question ,

( 2 x )^3 + ( 3 x )^3 + ( 4 x )^3 = 0.334125

8 x^3 + 27 x^3 + 64 x^3 = 0.334125

x^3 ( 8 + 27 + 64 ) = 0.334125

x^3 ( 99 ) = 0.334125

x^3 = 0.334125 /99

x^3 = 0.003375

x^3 = ( 0.15 )^3 => x = 0.15

therefore ,

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the required numbers are ,
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2 x = 2 × 0.15 = 0.3

3 x = 3 × 0.15 = 0.45

and 4 x = 4 × 0.15 = 0.6

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Your Answer: 0.3 , 0.45 , 0.6
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