The three numbers are to one another in ratio2:3:4 the sum of their cubes is 21384
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Let the three numbers be 2x, 3x, 4x
Then ATQ
(2x)^3 + (3x)^3 + (4x)^3 = 21384
8x^3 + 27x^3 + 64x^3 = 21384
99x^3 = 21384
x^3 = 216
x = 6
2x = 12
3x = 18
4x = 24
Then ATQ
(2x)^3 + (3x)^3 + (4x)^3 = 21384
8x^3 + 27x^3 + 64x^3 = 21384
99x^3 = 21384
x^3 = 216
x = 6
2x = 12
3x = 18
4x = 24
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