Question

3 nos. r to one another 2:3:4 , the sum of their cubes is 33957.Find the nos.

Answer 1

Let the ratios be in x.
(2x)^3 + (3x)^3 + (4x)^3 = 33957
8x^3 + 27x^3 +64x^3 = 33957
99x^3 = 33957
x^3 = 343
x = 7
Numbers will be 14,21 and 28