Three numbers are in the ratio 2 : 3 : 4. The sum of their cubes is 33957. Find the largest number

We take each number as x = 2x 3x 4x

(2x) ³ + (3x) ³ + (4x) ³=33957

8x³+27x³+64x³=33957

99x³=33957

x³=33957:99

=∛343

x=7

2x=2*7=14

3x=3*7=21

4x=4*7=28

=the three numbers are 14,21,28