Question

Three no.s are in the ratio 1:2:3 and the sum of their cubes is 4500. Find the no.s .

Answer 1

Ans : 5,10,15
:

Let the number be x and they were in the ration x : 2x : 3x

Also, it is given that sum of their cubes equals 4500

ie;

x^3 + (2x)^3 + (3x)^3 = 4500

x^3 + 8x^3 + 27x^3 = 4500

36x^3 = 4500

x^3 = 4500/36

x= cube_root(125)

x=5