Question

three numbers are in ratio 1:2:3 and the sum of their cubes is 98784 . Find the numbers​

Answer 1

Let the numbers be x:2x:3x

so, x³+(2x)³+(3x)³=98784

x³+8x³+27x³=98784

36x³=98784

x³=98784/36=2744

so, x=³√(2744)=14