Question

Three numbers are in the ratio 4: 5 : 6 . The sum of their cubes is

87480 . Find the numbers .​

Answer 1

Let first no be 4x, second no 5x ,and third no 6x.

(4x)^3 + (5x)^3 +(6x)^3 = 87,480

64x^3 + 125x^3 + 216x^3 = 87,480

405x^3 = 87,480

x^3 = 216

x= 6

First number = 4*6 = 24

second no = 5*6 = 30

third no = 6*6 = 36.