Question

Three numbers are in a ratio 1:2:3. The sum of their cubes is 0.098784. Find the numbers.​

Answer 1

Answer:

The answer is 0.14, 0.28, 0.42

Step-by-step explanation:

Ratio of the numbers = 1:2:3

Sum of their cubes = 0.098784

Let the numbers be 1x, 2x, 3x = x, 2x, 3x

Sum of the cubes of the numbers = 0.098784

     $x^{3}$ + $2x^{3}$ + $3x^{3}$ = 0.098784

    $x^{3}$ + $8x^{3}$ + $27x^{3}$ = 0.098784

    $36x^{3}$ = 0.09784

     $x^{3}$ = 98784/100000 ÷ 36/1

     $x^{3}$ = 98784/100000 × 1/36

      $x^{3}$ = 2744/100000

       $x^{3}$ = $(0.14)^{3}$

        $x$ = ${3} \sqrt{(0.14)^{3} }$

        $x$ = 0.14

        $x$ = 0.14,

        $2x$ = 0.28,

        $3x$ = 0.42.

                              -: Mark me as the brainliest...:-

Answer 2

Step-by-step explanation:

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