Question

three number are in the ratio 1:2:3. the sum of their cubes is 62,208. find the numbers.

Answer 1

Let the no.s be 1x,2x,3x

Cubing them we get

1x^3+8x^3+27x^3=62208

36x^3=62208

x^3=1728

This gives x=12

Hence,the no.s are 12,24,36