Question

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

Answer 1

the numbers are 14,21,28.

Answer 2

Let the ratio be 2x ,3x ,4x.
According to question ,
2x^3 + 3x^3 + 4x^3 = 33957

99x^3 = 33957
X^3 = 343
x= 7

The numbers are
2x = 2*7 = 14
3x = 3*7=21
4x = 4*7=28