Question

Three numbers are in the ratio 1:2:3. The sum of their cubes is 98784. Find the numbers.


Plz answer with solution. The best will be mark as brainlist

Answer 1

Answer:

First number =1x second =2x.third=3x so x^3 +8x^3 +27x^3=98784 then 36x^3=98784. X^3=2744. X=14. So first no =14 second=28.third.=42.

Answer 2

let the numbers be x, 2x, 3x.

so,

${x}^{3} + {2x}^{3} + {3x}^{3} = 98784 \\ {6x}^{3} = 98784 \\ {x}^{3} = \frac{98784}{6} \\ {x}^{3} = 16464 \\ x = \sqrt[3]{16464} \\ x = 25.43$

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