Question

Three number are in ratio 2:3:4 and sum of their cubes is 33957. What would be the numbers?

Answer 1

let the no. be 2x ,3x and 4x
then there cube will be 8x³ , 27x³ , 64x³
8x³+27x³+64x³=33957
99x³=33957
x³=343
x=7
therefore no. will be 14 , 21 , 28

Answer 2

(2x+3x+4x)³ = 33957
8x³+27x³+64x³ = 33957
99x³=33957
x³=33957/99
x³=343
x=∛343
x=7

2x=2*7=14
3x=3*7=21
4x=4*7=28