Question

three number are in the ratio 1:2:3.The sum of their cubes is 98784.find the number

Answer 1

Your Answer ↓↓↓↓↓↓.

Let the numbers be x , 2x and 3x .
then ,

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

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

$36x^{3} = 98784$

$x^{3} = 2744$

x = 14

#Be Brainly 
^_^ ^_^

Answer 2

1x+2x+3x
${1x}^{3} + {2x}^{3} + {3x}^{3} = 98784 \\ {36x}^{3} = 98784 \\ {x}^{3} = 2744 \\ x = \sqrt[3]{2744} \\ x =14$
hope it helps you