Three numbers are to one another 2 : 3 : 4 : The sum of their cubes is o.334125. Find the numbers.

Explanation

Let` a : b: c = 2 : 3 : 4`
`therefore a=2k, b=3k , c=4k`

Given, the sum of their cubes`= 0.334125`

`therefore` `a^3 + b^3 + c^3=0.334125`

`=>8k^3 + 27k^3 + 64k^3 =0.334125`

`=>99k^3=0.334125`

`=>k^3=(0334125)/(99 xx 1000000)`

`=>k^3=(334125)/(99000000)`

`=>k^3=(3375)/(1000000)`

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