Question

Three no are in ratio 2:3:4the sum of three cubes is 33957 find the no

Answer 1

let the numbers are 2x, 3x and 4x.
now (2x)3 + (3x)3 + (4x)3 = 33957 so x3(8+27+64)=33957 so x3 = 343 which gives x = 7.
so the numbers are 14, 21 and 28.