Let us assume the three number be 2a, 3a, 4a
Then,
Given, sum of cube of three numbers is 0.334125
i.e. (2a)3 + (3a)3 + (4a)3 = 0.334125
8a3 + 27a3 + 64a3 = 0.334125
99a3 = 0.334125
a3 = 0.334125/99
a3 = 0.003375
a3 = 3375/1000000
a = 3√(3375/1000000)
a = 3√((15 × 15 × 15)/(10 × 10 × 10 × 10 × 10 × 10))
a = 3√(153/106)
a = 15/1000
a = 0.015
∴The numbers are, 2a = 2 × 0.015 = 0.03
3a = 3 × 0.015 = 0.045
4a = 4 × 0.015 = 0.06
