Question

Three numbers are in the ratio 1:2:3.The sum of their cubes is 98784.Find the numbers??
plss answer fast.plsssss.​

Answer 1

Answer:

The numbers are in ratio 1:2:3

So, let the numbers be 1x, 2x and 3x

Given, sum of cubes of the numbers = 98784

so, $(1x)^{3} + (2x)^{3} + (3x)^{3}$ = 98784

      $1x^{3} + 8x^{3} + 27x^{3}$ = 98784

      $36x^{3}$ = 98784

         $x^{3}$ = 2744

         $x$ = 14

Thus, numbers are: 1x = 1*14 = 14

                                2x = 2*14 = 28

                                3x = 3*14 = 42

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