Question

The three numbers are in the ratio 2 : 3 : 4 and the sum of their cubes 12375

Answer 1

Let us take each number as x = 2x , 3x,  4x 
(2x)³+(3x)³+(4x)³=12375
8x³+27x³+64x³=12375
99x³=12375
x³=12375/99 
  =125
x =∛125
x=5
2x=2×5=10
3x=3×5=15
4x=4×5=20

therefore, the three numbers are 10,15 and 20 .....

Hope it helps !!