Question

three number are in the ratio 1:2:3, and the sum of their cubes is 4500. find the number​

Answer 1

Answer:

three numbers are in the ratio 1:2:3

let the numbers are x,2x,3x

so,

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

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

=> 36x^3=4500

=> x^3=4500/36=125=(5)^3

=> x=5

so the numbers are 5,5.2=10,5.3=15